JEE Questions for Maths Sequences And Series Quiz 5 - MCQExams.com

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Maths-Sequences and Series-47512.png

0%
0%
2)
0%
0%

0%
n
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1/n
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0%

1 + 5 + 14 + 30 + ... n terms = _______

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0%
2)
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0%

If a, b, c are in G.P ., then

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0%
2)
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None of these

If the first term of a G.P be 5 and common ratio be -5,then which term is 3125

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6th
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5th
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7th
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8th

The number which should be added to the numbers 2, 14, 62 so that the resulting numbers may be in G.P ., is

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1
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2
0%
3
0%
4

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0%
1
0%
0%

If x, 2x + 2, 3x + 3, are in G.P ., then the fourth term is

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27
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–27
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13.5
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–13.5

If the ratio of the sum of first three terms and the sum of first six terms of a G.P. be 125 : 152, then the common ratio r is

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3/5
0%
5/3
0%
2/3
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3/2

If the third term of a G.P is 4 then the product of its first 5 terms is

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43
0%
44
0%
45
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None of these

The 20^th term of the series 2 × 4 + 4 × 6 + 6 × 8 + ... will be

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1600
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1680
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420
0%
840

The value of i – i² + i³ + i⁴ + ... – i¹⁰⁰ equal is

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i
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–i
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1 – i
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1 + i
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0

If the roots of the cubic equation ax³ + bx² + cx + d = 0 are in G.P., then

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c3a = b3d
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ca3 = bd3
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a3b = c3d
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ab3 = cd3

The third term of a G.P is the square of first term. If the second term is 8, then the 6^th term is

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120
0%
124
0%
128
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132

Fifth term of a G.P is 2, then the product of its 9 terms is

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256
0%
512
0%
1024
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None of these

If the sum of an infinite G.P be 9 and the sum of first two terms be 5, then the common ratio is

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1/3
0%
3/2
0%
3/4
0%
2/3

The sum of first two terms of a G.P is 1 and every term of this series is twice of its previous term, then the first term will be

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1/4
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1/3
0%
2/3
0%
3/4

If the sum of n terms of a G.P. is 255 and n^th terms is 128 and common ratio is 2, then first term will be

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1
0%
3
0%
7
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None of these

If the sum of first 6 terms is 9 times to the sum of first 3 terms of the same G.P., then common ratio of the series will be

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–2
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2
0%
1
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1/2

The number 111..............1(91 times) is a

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Even number
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Prime number
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Not prime
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None of these

If in a geometric progression {a_n}, a₁ = 3, a_n = 96 and S_n = 189 then the value of n is

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5
0%
6
0%
7
0%
8

The sum of few terms of any ratio series is 728, if common ratio is 3 and last term is 486, then the first term of series will be

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2
0%
1
0%
3
0%
4

Three numbers are in G.P. such that their sum is 38 and their product is 1728. The greatest number among them is

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18
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16
0%
14
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None of these

The first term of a G.P is 7, the last term is 448 and sum of all terms is 889, then the common ratio is

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5
0%
4
0%
3
0%
2

The sum of a G.P with common ratio 3 is 364, and last term is 243, then the number of terms is

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6
0%
5
0%
4
0%
10

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16
0%
32
0%
64
0%
0
0%
62

If a² + ab² + 16c² = 2 (3ab + 6bc + 4ac), where a, b, c are non-zero numbers. Then a,b,c are in

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A.P
0%
G.P
0%
H.P
0%
None of these

If five G.M.\'s are inserted between 486 and 2/3 then fourth G.M will be

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4
0%
6
0%
12
0%
-6

The G.M of roots of the equation x² - 18x + 9 = 0 is

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3
0%
4
0%
2
0%
1

The product of three geometric means between 4 and 1/4 will be

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4
0%
2
0%
-1
0%
1

The two geometric means between the number 1 and 64 are

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1 and 64
0%
4 and 16
0%
2 and 16
0%
8 and 16

The sum can be found of a infinite G.P. whose common ratio is r

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For all values of r
0%
For only positive value of r
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Only for 0 < r < 1
0%
Only for –1 < r < 1 (r ≠ 0)

The first term of a G.P whose second term is 2 and sum to infinity is 8, will be

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6
0%
3
0%
4
0%
1

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0%
2)
0%
0%

The geometric mean of 1,2,2², ....... , 2ⁿ is

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2n/2
0%
n(n+1)/2
0%
2n(n+1)/2
0%
2(n - 1)/2

The sum of the series 5.05 + 1.212 + 0.29088 + ... ∞ is

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6.93378
0%
6.87342
0%
6.74384
0%
6.64474

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1
0%
2
0%
1/2
0%
4

The value of 4^1/3 4^1/9 4^1/27 ..... ∞ is

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2
0%
3
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4
0%
9

0.5737373......... =

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0%
2)
0%
0%

Sum of infinite number of terms in G.P is 29 and sum of their square is 100. The common ratio of G.P is

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5
0%
3/5
0%
8/5
0%
1/5

If in an infinite G.P first term is equal to the twice of the sum of the remaining terms, then common ratio is

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1
0%
2
0%
1/3
0%
-1/3

If the arithmetic , geometric and harmonic means between two positive real numbers be A, G and H, then

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A2 = GH
0%
H2 = AG
0%
G = AH
0%
G2 = AH

If three positive real numbers a, b, c are in A.P and abc = 4, then the minimum possible value of b is

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23/2
0%
22/3
0%
21/3
0%
25/2

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A.P
0%
G.P
0%
H.P
0%
None of these

If the roots of a (b - c)x² + b(c - a)x + c(a - b) = 0 be equal , then a, b, c are in

0%
A.P
0%
G.P
0%
H.P
0%
None of these

If b², a², c² are in A.P., then a + b, b + c, c + a, will be in

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A.P
0%
G.P
0%
H.P
0%
None of these

If three numbers be in G.P., then their logarithms will be in

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A.P
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G.P
0%
H.P
0%
None of these

If a,b,c are in A.P as well as in G.P. then

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a = b ≠ c
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a ≠ b = c
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a ≠ b ≠ c
0%
a = b = c

If a,b,c are in A.P and a, b, d in G.P., then a, a - b, d - c will be in

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A.P
0%
G.P
0%
H.P
0%
None of these

If a², b², c² are in A.P., then (b + c)^-1, (c + a)^-1 and (a + b)^-1 will be in

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H.P
0%
G.P
0%
A.P
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None of these

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JEE Questions for Maths Sequences And Series Quiz 5 - MCQExams.com

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