Question

Represent the arithmetic series using the recursive formula.

Answer 1

Answer:

The recursive formula is $f(n) = f(n-1) + (-7)$      

Step-by-step explanation:

Given : 94, 87, 80, 73, …..

To find : Represent the arithmetic series using the recursive formula ?

Solution :

The arithmetic series is 94, 87, 80, 73, ….. with first term a=94 and common difference is d=-7

The recursive formula of the sequence 94, 87, 80, 73, …..

a(1)=94     is the first term

a(n)=a(n−1)+(-7)    add -7 to the previous term

In the formula, n is any term number and a(n) is the $n^{th}$ term.

i.e. a(1) is the first term and a(n-1) is the term before $n^{th}$ term.

Therefore, the recursive formula is $f(n) = f(n-1) + (-7)$