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Question

If Tn=78, where Tn denotes the nth term the following AP:
3, 8, 13, 18, . . . , then n = 16


A
16
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B
False
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Solution

The correct option is A 16

Here, First term, a=3

Common difference, d=83=138=5
an=78
Using formula an=a+(n1)d to find nth term of arithmetic progression, we get
an=3+(n1)5 {we want to find value of n here.}
78=3+(n1)5
75=5n5
80=5n
n=805=16
It means 16th term of the given AP is equal to 78.


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