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

Updated on May 31, 2025 | By Learnzy Admin

Step 1: List the numbers less than 100 that are divisible by 4:

4, 8, 12, 16, ..., 96
This is an arithmetic sequence where:
First term (a) = 4
Last term (l) = 96
Common difference (d) = 4

Step 2: Find the number of terms (n)

Use the formula for the nth term of an arithmetic sequence:
l = a + (n - 1) * d
96 = 4 + (n - 1) * 4
96 = 4n
n = 96 / 4 = 24

Step 3: Find the sum of the sequence

Use the sum formula:
Sum = (n / 2) * (a + l)
Sum = (24 / 2) * (4 + 96)
Sum = 12 * 100
Sum = 1200

Hence the sum of all natural numbers that are less than 100 and divisible by 4 is 1200

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