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Question

Question 7
If the 2nd term of an AP is 13 and 5th term is 25, what is its 7th term?

A) 30
B) 33
C) 37
D) 38

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Solution

Given, the 2nd term of an AP is 13.
a2=13
a+(21)d=13 [an=a+(n1)d]
and the 5th term of an AP is 25
a5=25
a+(51)d=25
a+d=13...(i)
and a+4d=25...(ii)
On subtracting eq.(i) from eq. (ii), we get,
3d = 25 - 13 = 12
d = 4
From eq. (i), a = 13 - 4 = 9
a7=a+(71)d=9+6× 4=33

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