Question

Represent the arithmetic series using the recursive formula.

94, 87, 80, 73, …


A. f(n) = f(1) + (7)

B. f(n) = f(1) + (−7)

C. f(n) = f(n − 1) + (7)

D. f(n) = f(n − 1) + (−7)

Answer 1

D. f(n) = f(n − 1) + (−7)

Explanation:

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Answer 2

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

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)`