Question

What is the generating function for the sequence with closed formula an=4(7^n)+6(−2)^n?

(a) (4/1−7x)+6!

(b) (3/1−8x)

(c) (4/1−7x)+(6/1+2x)

(d) (6/1-2x)+8

The question was posed to me during an interview.

My question is based upon Discrete Probability in portion Discrete Probability of Discrete Mathematics

Answer 1

Correct choice is (c) (4/1−7x)+(6/1+2x)

Explanation: For the given sequence after evaluating the formula the generating formula will be (4/1−7x)+(6/1+2x).