What is une sum of all natural numbers between 1 and 150 (both included) which are multiples of 3
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Here's your answer;
We know that, Nth term of an AP = a + (n - 1)d
⇒ 3 + (n - 1)3 = 150 ⇒ n = 50
Sum of n terms of an AP = n/2 (2a + (n - 1)d)
a = 3, n = 50 and d = 3
Sum = 50/2 × (6 + 49 × 3) = 3825
So, your answer is 3825.
Hope, this helps you.
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