What is the nth term of the sequence whose first three terms are A + k, A2 + 2k, A3 + 3k, A4 + 4k, ?

Question

What is the nth term of the sequence whose first three terms are

A + k, A² + 2k, A³ + 3k, A⁴ + 4k, …?

A	An + nk
B	A + 2nk
C	An + k - 2nk
D	An + 2nk

Answer 1

A. nth term is Aⁿ + nk

the sequence is the sum of a geometric and an arithmetic sequence:

A, A^2, A^3 ... A^n and k,2k,3k...nk

first has common ration = r = A

2nd has common difference = d = k