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The sum of 21 + 22 + 23 + .....+ 50 is
Question

The sum of 21 + 22 + 23 + .....+ 50 is

A.

1275

B.

1200

C.

1100

D.

1065

Correct option is D

Given:

Find the sum:

21 + 22 + 23 + ....... + 50

Formula Used:

Sum of an AP:

Sn=n2(a+l)S_n = \frac{n}{2}(a + l)​​

where
(a) = first term, (l) = last term, (n) = number of terms

Solution:

First term, a = 21

Last term, l = 50

Number of terms:

n = 50 - 21 + 1 = 30

Sum, S = 302(21+50)\frac{30}{2}(21 + 50)​​

= 15 × 71 = 1065

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