Question

Find the sum of all multiples of 4lying between 0 and 100.

Answer 1

Answer:

sum of all multiples of 4 is 1300 lying between 0 &100

Step-by-step explanation:

Ap = 4,8,12,..…100

a=4

d=8-4

•°•d=4

let Tn =100

Let the no.of multiples of 4 be 'n'

Tn=a+(n-1)d

=>100=4+(n-1)4

=>100=4+4n-4

=>100=4n

=>100/4=n

=>25=n

•°•n=25

Now,

Sn =n/2(a+l)

=> Sn=25/2(4+100)

=> Sn =25/2 ×104

=> Sn=25×52

•°• Sn= 1300

Sum of all multiples of 4 is 1300 lying between 0&100

hope it's helpful for you

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