Question

What is the sum of all even integers between 99 and 303?

Answer 1

Answer:

Hey mate here is your answer :

Here the A. P form is :

100 , 102 , 104 , ............ 302

Here, a = 100

d = 102 - 100 = 2

an (L) = 302 ,

We have to find first of all number of terns and then sum,

We know that,

an = a + (n-1)d

302 = 100 + (n-1)2

302 = 100 + 2n - 2

2n + 98 = 302

2n = 302 - 98

2n = 204

n = 102

Now we have to find sum,

So we know that,

Sn = n/2 ( a + L)

Sn = 102 / 2 (100 + 302)

Sn = 51 ( 402 )

Sn = 20502

Thus the sum of all even integers between 99 and 303 is 20502 .

Hope it helpful to you mate if you satisfied than please mark me as brainlest ☺ ✌

Answer 2

Answer:

Heya mate here is your answer is in image :