Question

Find the 80th term of the following arithmetic sequence.14, 23, 32, 41,

Answer 1

Given data:

The firs term of AP is a=14.

The second term of AP is b=23.

The expression for the common difference is,

d=b-a

Substitute the given values.

d=23-14

=9

The expression for the 80th term is,

`a_(80)=a+79d`

substitute 14 for a, and 9 for d in the above expression.

`\begin{gathered} a_(80)=14+79(9) \\ =725 \end{gathered}`

Thus, the 80th term of AP is 725.