How do you write the first five terms of the sequence defined recursively #a_1=3, a_(k+1)=2(a_k-1)#?
1 Answer
3, 4, 6, 10, 18
Explanation:
When a sequence is defined recursively, the previous term is used to find the next term. Start by using
Substitute
Because
Now use
Repeat these steps to find
Find
List the terms from least to greatest and separate the terms with commas.
Answer: 3, 4, 6, 10, 18