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Which term of the AP : 3, 8, 13, 18, . ....

Which term of the AP : 3, 8, 13, 18, . . . , is 78?

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Here, a=3,
`a=8-3=13-8=5`
Let `a_(n)=78`
`rArr 3+(n-1)5=78`
`rArr 3+5n-5=78`
`rArr 5n-2=78`
`rArr 5n=80 rArr n=16`
`:.` 16th term of the given A.P. is 78.
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