Question

Given the functions f(n) = 25 and g(n) = 3(n − 1), combine them to create an arithmetic sequence, an, and solve for the 12th term.

Answer 1

`a_n = 25+3(n-1)`

`a_(12)=58`

Explanation:

Given the functions:

`f(n) = 25` and
`g(n) = 3(n-1)`

Now, combine them to create an arithmetic sequence i,.e,
`a_n`

⇒
`a_n = f(n)+g(n)`

then;

`a_n = 25+3(n-1)` ....[1]

We have to find the 12th term;

Substitute n = 12 in [1] we have;

`a_(12) = 25+3(12-1)`

⇒
`a_(12) = 25+3(11)`

⇒
`a_(12) = 25+33 = 58`

Therefore, the 12th term is 58