Question

Find the 100th term of the arithmetic sequence with first term 5 and
eighth term 19

Answer 1

Nth term of an arithmetic sequence is given by $(a+(n-1)d$ )

then $T_1=5$ which means a=5

we are given 8th term as 19

$T_8=19\\5+7d=19\\d=2$

We have to find 100th term

$T_{100}=a+(n-1)d=5+99\times2=203$