Question

the sum of even numbers between 1 and 31 is

Answer 1

The series of even no between 1 & 31 will be in A.P :
2,4,6,8........26,28,30
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Here ;
a = 2
d = 2
last term = 30
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Tn = a + (n-1)d
30 = 2 + (n-1)2
n= 15
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Sum of 15 terms of this A.P will be ;
Sn= n/2 (a +l
S15 = 15/2 (2+30)
= 15/2 × 32
= 240


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