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Question

Find the sum of all natural numbers that are less than 100 and divisibile by 4.

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Solution

The number less than 100 and divisible by 4 are 4, 8, 12, ..... 96.
This will form an AP.
an=96
a= 4
d =4
an=a+(n1)d
96 = 4 + (n - 1) 4
96 = 4 + 4n - 4
n=964=24
Sum of n terms = n3×(a+l)
Sum =242[4+96]
= 12[100]
= 1200

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