Question

What is the 308th term of the sequence 11,12.5,14,15.5,17...

Answer 1

$\huge\boxed{471.5}$

The formula for an arithmetic sequence is as follows:

$a_n=a_1+(n-1)d$

In this formula, $a_n$ represents the $n$th term of the sequence and $d$ represents the common difference between each term.

Plug in the known values.

$a_{308}=11+(308-1)1.5$

Subtract.

$a_{308}=11+307*1.5$

Multiply.

$a_{308}=11+460.5$

Add.

$a_{308}=\boxed{471.5}$