Question

Let the sequence be 1×2, 3×2^2, 5×2^3, 7×2^4, 9×2^5……… then the next term of this AGP is given by _________

(a) 10×26

(b) 10×27

(c) 11×26

(d) None of the mentioned

I have been asked this question in final exam.

The query is from Special Sequences topic in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer 1

Correct choice is (c) 11×26

Explanation: Since here a1, a2……… are in AP and b1, b2………. are in GP then a2b2, a2b2,……… are in AGP thus an = 11 and bn = 2^6.