Question

(iv) Find the sum of all numbers from 150 to 200 which are divisible by 8.​

Answer 1

Answer:

sum of all numbers from 150 to 200 which are divisible by 8 is 1232.

Answer 2

Answer:

The sum of all the numbers from 150 to 200 which are divisible by 8 are 1232 .

Step-by-step Explanations :

To find : The sum of all the numbers from 150 to 200 which are divisible

by 8 ?

The numbers between 150 and 200 which are divisible by 8 are,

AP = 152, 160, .. , 200

∴ Required sum = 152 + 160 + ... +200

∴ a = 152 and Tn = 200

We know that,

Tn = a + ( n - 1 ) d

Substituting the given value in above formula we get,

200 = 152 + ( n - 1 ) × 8

200 - 152 = 8n - 8

48 = 8n - 8

48 + 8 = 8n

56 = 8n

n = 56/8

n = 7

Also,

Sn = n/2 × (2a + ( n - 1 ) × d

= 7/2 × ( 2 × 152 + ( 7 - 1 )×8

= 7/2 × ( 304 + 6 × 8 )

= 7/2 × ( 304 + 48 )

= 3.5 × 352

= 1232

Hence The sum of all the numbers from 150 to 200 which are divisible by 8 are 1232 .