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1. 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

   Learn more on recursive function here: https://brainly.com/question/11316313

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