Math, asked by kanchansingh6030, 1 year ago

Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1? 5,–1, –7, –13, –19, ...

Answers

Answered by 12ahana
1
a+(n-1)d is te formula

krobsquad: yeet
Answered by DelcieRiveria
0

Answer:

The recursive formula of given sequence is f(n)=f(n-1)-6,where f(1) = 5 and n > 1.

Step-by-step explanation:

The given sequence is

5,–1, –7, –13, –19, ...

Here first term is 5 and the common difference is

d=a_2-a_1=-1-5=-6

The nth term of an AP is

a_n=a+(n-1)d

We know that in an AP,

a_n-a_{n-1}=d

a_n=a_{n-1}+d

For given sequence

a_n=a_{n-1}-6

It can be written as

f(n)=f(n-1)-6

Therefore the recursive formula of given sequence is f(n)=f(n-1)-6,where f(1) = 5 and n > 1.

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