Class 10

Math

All topics

Sequences and Series

The first and the last terms of an A.P. are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum?

From the question it is give that,

First term $a=17$

Last term $=350$

Common difference $d=9$

We know that, $T_{n}=a+(n−1)d$

$350=17+(n−1)×9350−17=9n−9333+9=9n342=9nn=342/9 $

$n=38$

$S_{n} =(n/2)(2a+(n−1)d)S_{38}=(38/2)((2×17)+(38−1)d)=19(34+(37×9))=19(34+333)=19×367=6973 $