JEE Questions for Maths Sequences And Series Quiz 8

If a, a₁, a₂, ,...,a_2n,b are in arithmetic progression and a, g₁, g₂,..,g_2n,b are in geometric progression and his the harmonic mean of a and b, then
Maths-Sequences and Series-47717.png

0%
2nh
0%
n/h
0%
nh
0%
2n/h

The sum of the product of the numbers ± 1 ± 2 ±...± n, taken two at a time, is

0%
0%
2)
0%
0%
0

If y = 3χ + 6χ² + 10χ³ +..., then the value χ in terms of y is

0%
1 - (1 - y)-1/3
0%
1 - (1 + y)1/3
0%
1 + (1 + y)-1/3
0%
1 - (1 + y)-1/3

The sum of series 1 + 3/2 + 7/4 + 15/8 + 31/16 +... up to n terms is equal to

0%
0%
2)
0%
0%

For any integer n ≥ 1,
Maths-Sequences and Series-47729.png

0%
0%
2)
0%
0%

Sum of n terms of the series 1/2 + 3/4 + 7/8 + 5/16 + ...is

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

If α ,β and γ are the roots of the equation χ² - pχ + q = 0, then the values of
Maths-Sequences and Series-47736.png

0%
log(1- pχ + qχ2 )
0%
log(1 + pχ - qχ2 )
0%
log(1 + pχ + qχ2 )
0%
None of these

The sum of the series log₄ 2 - log₈ 2 + log₁₆ 2 - ... is

0%
e2
0%
loge 2 + 1
0%
loge 3 - 2
0%
1 - loge 2

The value of
Maths-Sequences and Series-47739.png

0%
10
0%
12
0%
log(32. 42)
0%
log (22 . 32)

The sum of series
Maths-Sequences and Series-47741.png

0%
loge 2 – 1/2
0%
loge 2
0%
loge 2 + 1/2
0%
loge 2 +1

The sum of series 2[7^-1 + 3^-1 . 7^-3 + 5^-1 . 7^-5 +...] is

0%
loge (4/3)
0%
loge (3/4)
0%
2loge (3/4)
0%
2loge (4/3)

0%
e
0%
e-1
0%
1
0%
0

The coefficient χⁿ of in the series
Maths-Sequences and Series-47746.png

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

The coefficient of χ³ in the expansion of 3^χ is

0%
33/6
0%
(log 3)3/3
0%
log(3)3/6
0%
(log 3)3/6
0%
3/3!

0%
e
0%
2e
0%
3e
0%
None of these

0%
e
0%
2e
0%
3e
0%
4e

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
0%

0%
5e
0%
3e
0%
7e
0%
2e

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

0%
e
0%
3e
0%
4e
0%
5e

0%
e
0%
2)
0%
0%

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
Equal to 0
0%
None of these

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

0%
0%
2)
0%
0%
None of these

If the (m + 1)th, (n + 1)th and (r + 1)th terms of an A.P. are in G.P. and m, n, r are in H.P. show that the ratio of the first term to the common difference of the A.P. is

0%
0%
2)
0%
0%

Number of terms in the sequence 1, 3, 6, 10, 15,…., 5050 is

0%
50
0%
75
0%
100
0%
125

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
0%
None of these

0%
7
0%
6
0%
9
0%
None of these

0%
0%
2)
0%
0%
None of these

0%
0%
2)
0%
0%
None of these

0%
1
0%
2
0%
3
0%
0

The sixth term of an A.P. is equal to 2 and its common difference is greater than 1. The value of the common difference of the progression so that the product of the first, fourth and fifth terms is greatest, is

0%
0%
2)
0%
0%

JEE Questions for Maths Sequences And Series Quiz 8 - MCQExams.com

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Practice Maths Quiz Questions and Answers

JEE Questions for Maths Sequences And Series Quiz 8 - MCQExams.com

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Practice Maths Quiz Questions and Answers

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