Question

whose first term is 5 and common difference is3 . Find the 100th term of the A.P.?​

Answer 1

Answer:

The $100th$ term of the AP whose first term is $5$ and common difference $3$ is

$a_{100} =302$ .

Step-by-step explanation:

An AP ,Arithmetic Progression is a sequence of numbers which  either increases or decreases by a fixed number, called the common difference, and is denoted by d. It can be positive , negative , or zero. The general term of an AP is given by    ,  

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

where a is the first term

d is the common difference

and n is the number of term.

In this question first term $a=5$ , and common difference $d=3$ .

Therefore the $100th$ term   $a_{100} =a+(100-1)d$

                                                   $=5+99*3\\\\=5+297=302$

Hence the answer.

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