Find the first five terms of the recursive sequence. Show all work.
where

Ask by Blake Chen. in the United States

Mar 19,2025

Question

Find the first five terms of the recursive sequence. Show all work. $$ a_{n}=a_{n-1}+7 $$ where $$ a_{1}=5 $$

UpStudy AI · Accepted Answer

1. The recursive formula is given by 
   $$
   a_n = a_{n-1} + 7
   $$
   with the initial term 
   $$
   a_1 = 5.
   $$

2. Find $$ a_2 $$:
   $$
   a_2 = a_1 + 7 = 5 + 7 = 12.
   $$

3. Find $$ a_3 $$:
   $$
   a_3 = a_2 + 7 = 12 + 7 = 19.
   $$

4. Find $$ a_4 $$:
   $$
   a_4 = a_3 + 7 = 19 + 7 = 26.
   $$

5. Find $$ a_5 $$:
   $$
   a_5 = a_4 + 7 = 26 + 7 = 33.
   $$

The first five terms of the sequence are:
$$
5, \; 12, \; 19, \; 26, \; 33.
$$
The first five terms of the sequence are 5, 12, 19, 26, and 33.

Find the first five terms of the recursive sequence. Show all work.
where