# 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**