Let \{a_{ {\k}}\} and \{ {\b}_{ {\k}}\} , {\k} \in {\N}, be two G.P.s with common ratio r_1 and r_2 respectively such that {\a}_1= {\b}_1=4 and {\r}_1 < {\r}_2. Let {\c}_{ {\k}}= {\a}_{ {\k}}+ {\b}_{ {\k}}, {\k} \in {\N}. If c_2=5 and c_3=\frac{13}{4} then \sum_{k=1}^{\infty} c_k- (12 a_6+8 b_4) is equal to__ [29-Jan-2023 Shift 2]

Sequences and Series Part 2

Section: Mathematics

Question : 21 of 100

Marks: +1, -0

Let {ak} and {bk},k∈N, be two G.P.s with common ratio r1 and r2 respectively such that a1=b1=4 and r1<r2. Let ck=ak+bk,k∈N. If c2=5 and c3=‌

then

∞

∑

k=1

ck−(12a6+8b4) is equal to__

[29-Jan-2023 Shift 2]

Go to Question:

Prev Question

Next Question