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How many terms are there in the sequence...

How many terms are there in the sequence `3,6,9, 12 , 111 ?`

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The given sequence is an A.P. with first term a=3 and common difference d=3. Let there be n terms in the given sequence. Then,
`n^(th)` term`=111`
`a+(n−1)d=111`
`3+(n−1)×3=111`
`n=37`
Thus, the given sequence contains 37 terms.
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