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Question

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


Solution

Here, first term, a=3

Common difference, d=83=138=5
an=78
To find nth term of arithmetic progression,
 an=a+(n1)d
78=3+(n1)5  
78=3+(n1)5
755=n1
15=n1
n=16
It means 16th term of the given AP is equal to 78.


Mathematics

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