Question

18. The table shows the amount of money in a savings account after several weeks

Answer 1

Answer:

a. Arithmetic

b. $a_{n} = a_{n-1} + 15$

c. $a_{n} = 15n + 125$

Step-by-step explanation:

A sequence is arithmetic when the difference between one term and the next is a constant. On the other hand, a sequence is geometric when the next term is found by multiplying the previous by a constant.

In this case, the next term of the sequence can be found by adding $15. Therefore, the sequence is ARITHMETIC ✔️

The recursive formula will be the following: $a_{n} = a_{n-1} + 15$

The explicit formula is the following: $a_{n} = 15n + 125$