Q 17 Find the sum of all even numbers from 31 to
59.
Ops: A
630
B.
530
C.
940
D.
625
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3
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The sum of all even numbers from 31 to 59 is 630 which is option (a).
Given,
The numbers given are between 31 and 59.
To Find,
The sum of all even numbers from 31 to 59.
Solution,
The numbers between 31 and 59 are 14
∴ Let n = 14
First term (a) = 32
Common difference (d) = 2
The formula for finding the sum of numbers = n/2 (2a + (n-1)d)
∴ Sₙ = n/2 (2a + (n-1)d)
= 14/2 (2(32) + (14-1)2)
= 7 (64 + (13)(2))
= 7 (64 + 26)
= 7 × 90
= 630
Hence the sum of all even numbers between 31 and 59 is 630 which is Option (a)
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