What is the sum of all the multiples of 5 that are greater than 100 and less than 200?
Answers
Answer:
multiples are 105, 110, 115, 120 ,125,130,135,140,145,150,155,160,165,170,175,180,185,190 and 195 and their sum is 2850.
Given : multiples of 5 that are greater than 100 and less than 200
To Find : sum of all the given multiples
Solution :
All the multiples of 5 that are greater than 100 and less than 200
105 , 110 , 115 , ...............................................190 , 195
195 = 105 + (n - 1) 5
=> 90 = (n - 1) 5
=> 18 = n-1
=> n = 19
Sum = (n/2)(a + L)
= (19/2)(105 + 195)
= 19 * 150
= 2850
sum of all the multiples of 5 that are greater than 100 and less than 200 = 2850
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