Question

3.) Write both an explicit equation and a recursive equation for the sequence 7, 10, 13, 16, ...​

Answer 1

The first term in the sequence is 7.

Explanation:

An explicit equation for the sequence 7, 10, 13, 16, ... can be written as:

a_n = 7 + 3(n-1)

where n represents the position of the term in the sequence.

A recursive equation for the sequence can be written as:

a_1 = 7

a_n = a_{n-1} + 3

where a_n represents the nth term in the sequence, and a_{n-1} represents the previous term. This recursive equation states that each term in the sequence is found by adding 3 to the previous term. The first term in the sequence is 7.