an infinite number of solutions

JEE Questions for Maths Sequences And Series Quiz 9

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

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
0%
1
0%
2
0%
None of these

0%
0%
2)
0%
0%

0%
2
0%
3
0%
4
0%
5

The number of common terms of the sequence 17,21,25,….417 and 16,21,26,…,266 is

0%
21
0%
19
0%
20
0%
None of these

0%
an infinite number of solutions
0%
a unique solution
0%
no solution
0%
none of these

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

0%
0%
2)
0%
0%

0%
0%
2)
0%
0%

If the first and nth terms of a G.P. are a and b respectively and if P is the product of the first n terms, then P₂ is equal to

0%
0%
2)
0%
0%

0%
A.P. only
0%
G.P. only
0%
A.P. as well and G.P
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%
None of these

0%
0%
2)
0%
0%

0%
A.P.Only
0%
G.P. Only
0%
A.P. and G.P
0%
None of these

0%
1
0%
3
0%
9
0%
10

0%
1
0%
2
0%
3
0%
None of these

The value of the common difference of an A.P. which makes T₁T₂T₇ least, given that T₇ = 9 is

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

0%
0%
2)
0%
0%

If the 1st term and common ratio of a G.P. are 1 and 2 respectively then S₁ + S₃ + S₅ + ... + S_2n+1 =

0%
0%
2)
0%
0%

0%
2100 + 99
0%
2–100 + 99
0%
2–101 + 99
0%
2–99 + 99

If for the triangle whose perimeter is 37 cms and length of sides are in G.P. also the length of the smallest side is 9 cms then length of remaining two sides are ___ and __

0%
12, 16
0%
14, 14
0%
10, 18
0%
15, 13

Find out four numbers such that, first three numbers are in G.P., last three numbers are in A.P. having common difference 6, first and last numbers are same.

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8, 4, 2, 8
0%
–8, 4, –2, –8
0%
8, –4, 2, 8
0%
–8, -4, –2, –8

0%
0%
2)
0%
0%

If the harmonic mean and geometric mean of two numbers a and b are 4 and 3√ 2 respectively then the interval [a, b] = _______

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[3, 6]
0%
[2, 7]
0%
[4, 5]
0%
[1, 8]

A.M of the three numbers which are in G.P. is 14/3. If adding 1 in first and second number and subtracting 1 from the third number, resulting numbers are in A.P. then the sum of the squares of original three numbers is ______

0%
91
0%
80
0%
84
0%
88

If the H.M. of a and c is b, G.M. of b and d is c and A.M. of c and e is d, then the G.M. of a and e is ______

0%
b
0%
c
0%
d
0%
ae

If a, b, c are in A.P. and geometric means of ac and ab, ab and bc, ca nad cb are d, e, f respectively then d², e², f² are in

0%
A.P.
0%
G.P.
0%
H.P.
0%
A.G.P

0%
0%
2)
0%
0%

If (666 ... n times)² + (8888 ... n times) = (4444 ... K times) then K = ______

0%
n + 1
0%
n
0%
2n
0%
n2

If (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. then the common difference of the A.P. is _______

0%
0%
2)
0%
0%

2 + 6 + 12 + 20 + 30 + ... 100 terms = ______

0%
0%
2)
0%
0%

If any terms of an A.P. is non - zero and d ≠ 0 then
Maths-Sequences and Series-48053.png

0%
0%
2)
0%
0%

If S₁, S₂, S₃, ... , Sn are the sums of infinite G.P.s. whose first terms ars 1, 2, 3, ..., n and whose common ratios are
Maths-Sequences and Series-48059.png