find the sum of all natural number less then 50 and which are neither divisible by 5 nor 2 using AP
Answers
Step-by-step explanation:
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Given : all natural number less then 50 and which are neither divisible by 5 nor 2
To find : Sum using an AP
Solution:
All natural number less than 50
1 , 2 , 3 . ......................................................................, 49
Sum = 49(50)/2 = 1225
Divisible by 5
5 , 10 , .........................................................................., 45
Sum = 5( 1 + 2 + ..............+ 9)
= 5 * 9 * 10/2
= 225
Divisible by 2
2 , 4 , .........................................................................., 48
Sum = 2( 1 + 2 + ..............+ 24)
= 2 * 24 * 25/2
= 600
Divisible by 5 & Divisible by 2 Has Common terms divisible by 10
Divisible by 10
10 , 20 , ........................................................................, 40
Sum = 10( 1 + 2 + ..............+ 4)
= 10 * 4 * 5/2
= 100
sum of all natural number less then 50 and which are neither divisible by 5 nor 2 = 1225 - 225 - 600 + 100
= 500
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