What is the sum of all numbers divisible by 8 between 100 - 300?1. 550

1.	What is the sum of all numbers divisible by 8 between 100 - 300?1. 55002. 50003. 65004. 6000
Answer» Correct Answer - Option 2 : 5000 Given : Number be divisible by 8 Common difference (d) = 8 To find : the sum of all numbers divisible by 8 between 100 - 300 Formula used : S_n = (n/2) × (a + a_n) a_n = a + (n - 1)d Where, S_n is the sum of all terms n is the number of terms a is the first term a_n is last term d is the common difference Calculation : The first number (a) divisible by 8 is 104 ⇒ The last number (a_n) divisible by 8 is 296 ⇒ 296 = 104 + (n - 1) × 8 ⇒ (n - 1) × 8 = 296 - 104 ⇒ n - 1 = 192/8 ⇒ n = 24 + 1 ⇒ n = 25 ⇒ S_n = (25/2) × (104 + 296) ⇒ S_n = 5000 ∴ the sum of all numbers divisible by 8 between 100 - 300 is 5000.

What is the sum of all numbers divisible by 8 between 100 - 300?1. 55002. 50003. 65004. 6000

Answer» Correct Answer - Option 2 : 5000

Given :

Number be divisible by 8

Common difference (d) = 8

To find :

the sum of all numbers divisible by 8 between 100 - 300

Formula used :

S_n = (n/2) × (a + a_n)

a_n = a + (n - 1)d

Where,

S_n is the sum of all terms

n is the number of terms

a is the first term

a_n is last term

d is the common difference

Calculation :

The first number (a) divisible by 8 is 104

⇒ The last number (a_n) divisible by 8 is 296

⇒ 296 = 104 + (n - 1) × 8

⇒ (n - 1) × 8 = 296 - 104

⇒ n - 1 = 192/8

⇒ n = 24 + 1

⇒ n = 25

⇒ S_n = (25/2) × (104 + 296)

⇒ S_n = 5000

∴ the sum of all numbers divisible by 8 between 100 - 300 is 5000.