Question

find the sum of all integers from 1 to 500 divisible by 2 or 5

Answer 1

Answer:

Step-by-step explanation:

multiples of 2

2,4,6.................500

a=2

d=4-2=2

l=500

n=500/2=250

Sn=250/2(2+500). Sn=n/2(a+l)

150(502)

=62750

multiples of 5

5,10,15.............500

a=5

l=500

n=500/5=100

Sn=100/2(5+500)

=50(505)

=25250

10 multiples are common

10,20,30...........500

a=10

l=500

n=500/10=50

Sn=50/2(10+500)

= 25(510)

= 12750

n= 62750+25250-12750

= 75250

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