Solution Found!
A sequence {an} is defined recursively by a1 = 2, a2 = 4 and an = an1 + 2an1 for n
Chapter 4, Problem 20(choose chapter or problem)
QUESTION:
A sequence {an} is defined recursively by a1 = 2, a2 = 4 and an = an1 + 2an1 for n 3.Prove that an = 2n for every positive integer n.
Questions & Answers
QUESTION:
A sequence {an} is defined recursively by a1 = 2, a2 = 4 and an = an1 + 2an1 for n 3.Prove that an = 2n for every positive integer n.
ANSWER:Problem 20
A sequence is defined recursively by and for .
Prove that for every positive integer .
Step by Step Solution
Step 1 of 4
Consider the given statement,
Check for as,
Thus, it is observed that is true.