The explicit formula below describes a linear function, where n is a positive integer. f(n) = 5n +12 Which recursive formula describes the same function?

Answers

The recursive formula that describes the same function is an = an+1 + 5

Explicit formula of a function

The formula for calculating the nth term of an arithmetic progression is expressed as:

Tn = a + (n + 1)d

where

a is the first term

d is the common difference

The recursive function is given as:

an = an+1 + d

where

d is the common difference

Given the explicit formula below describes a linear function, where n is a positive integer. f(n) = 5n +12

For the first term

f(1) = 5(1) + 12

f(1) = 17

For the second term

f(2) = 5(2) + 12

f(2) = 22

d = 22 – 17

d = 5

Substitute

an = an+1 + 5

Hence the recursive formula that describes the same function is an = an+1 + 5

recursive formula thatdescribes the same function isan = an+1 + 5## Explicit formula of a function

nth term of an arithmetic progressionis expressed as:explicit formulabelow describes a linear function, where n is a positive integer. f(n) = 5n +12d = 5an = an+1 + 5recursive formula thatdescribes the same function isan = an+1 + 5recursive functionhere: https://brainly.com/question/11316313