Question

URGENT ANSWER PLS

The explicit formula below describes a linear function, where n
is a positive integer.

f(n)=3n−8
Which recursive formula describes the same function?

A
a1=3an=an−1−8

B
a1=−5an=an−1+3

C
a1=3an=an−1−5

D
a1=−8an=an−1+3

Answer 1

`Option\ B`

Explanation:

`The\ explicit\ formula\ given:\\f(n)=3n-8\\Since\ n\ can\ be\ any\ positive\ real\ number\,\\The\ formula\ describes\ an\ AP\ whose\ d=3.\\Also,\ Substituting\ n=1:\\f(n)=3*1-8\\f(n)=-5\\Hence, a_1=-5`

`However,\\We\ also\ know\ that,\\d=a_n-a_(n-1)\\Hence,\\a_n-a_(n-1)=3\\Or,\\a_n=a_(n-1)+3\\These\ conditions\ are\ appropriately\ specified\ on\ Option\ B.`