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Question

Question 8 (ii)
Justify whether it is true to say that the following are the nth terms of an AP.
3n2+5

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Solution

Given, an=3n2+5
Put n=1, a1=3(1)2+5=8
Put n=2, a2=3(2)2+5=3(4)+5=17
Put n=3, a3=3(3)2+5=3(9)+5=27+5=32
So, the series is :
8, 17, 32, ...

Here,
a2a1=178=9
a3a2=3217=15
a2a1a3a2
Since the difference between the consecutive terms of the series is not same, the formula does not represent the nth term of an AP.

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