Question

What is the 100th term of 60,110,160,...

Answer 1

Given ,

First term (a) = 60

Commom difference (d) = 50

We know that , the nth term of an AP is given by

$\large \fbox{ a_{n} = a + (n - 1)d }$

Thus ,

$\sf \mapsto a_{100} =60 + (100 - 1)50 \\ \\\sf \mapsto a_{100} = 60 + 99 \times 50 \\ \\\sf \mapsto a_{100} = 60 + 4950 \\ \\\sf \mapsto a_{100} = 5010$

Hence , the 100th term of given AP is 5010