Given the explicit expression f (n) = 5n - 2, write a set showing the sequence, and write a recursive expression.

Step-by-step explanation:

Given

Required

Write a recursive expression

When n = 1

When n = 2

can be rewritten as

Substitute 3 for f(1)

Express 1 as 2 - 1

----- (1)

When n = 3

can be rewritten as

Substitute 8 for f(2)

Express 2 as 3 - 1

 ------ (2)

Write out (1) and (2)

Replace 2 and 3 with n in both cases; This gives

Hence;

The recursive is

equal to

step-by-step explanation: