Arithmetic and Geometric Sequence Function Generator

Write a function that takes an integer sequence represented by a list of integers as a parameter and return a function of that sequence. This function should take an index (starting at 1, not zero), and return the sequence term at that index.

The test sequences given will have at least five terms and will start at the beginning of the sequence. They will be either arithmetic or geometric sequences of the following forms:

Arithmetic:

f(n) = a*n + c

Geometric:

f(n) = a^n * c

Examples:

sequence_generator([1, 2, 3, 4, 5])(3) ➞ 3

sequence_generator([2, 4, 6, 8, 10, 12])(7) ➞ 14

sequence_generator([2, 4, 8, 16, 32, 64])(4) ➞ 16

Notes

N/A