Question

if the first term of AP is 2 and the last term is 100 then its sum is ​

Answer 1

Answer:

The sum of AP for given terms is 51 .

Step-by-step explanation:

Given as :

The first term of AP = $a_{1}$ = 2

The last term of AP = $a_{n}$ = 100

Let The sum of AP = s

According to question

The sum of AP = $\frac{1}{2}$ × (first term + last term)

Or, s = $\frac{1}{2}$ × ($a_{1}$ + $a_{n}$)

Or, s =  $\frac{1}{2}$ × (2 + 100)

Or, s =  $\frac{1}{2}$ × 102

∴   s = 51

So, The sum of AP = s = 51

Hence, The sum of AP for given terms is 51 . Answer

Answer 2

51

Step-by-step explanation:

Given that a=2  l=100 Sn=?

by using formula

Sn=1/2(a+l)

Sn=1/2(2+100)

Sn=1/2(102)

Sn=51