Find the sum of those integers between 1 and 500 which are multiples of 2 as well as of 5

Globokim8

Globokim8

Answered question

2021-08-02

Find the sum of those integers between 1 and 500 which are multiples of 2 as well as of 5

Answer & Explanation

Leonard Stokes

Leonard Stokes

Skilled2021-08-03Added 98 answers

Step 1 Given W.K.T.
Multiples of 2 as well as of 5=LCM os (2,5)
=10
Step 2 Finding the sum
Multiples of 2 as well as of 5 between 1 and 500=10,20,30,,490
a1=10
a2=20
d=a2a2
=2010
Let
The number of terms in this AP=n
an=a+(n1)d
490=10+(n1)10
480=(n1)10
n1=48
n=49
Sum of an AP
Sn=n2[a+1]
=492[10+490]
=49×250
=12250
Sum of those integers between 1 and 500 which are multiples of 2 as well as of 5=12250

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