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Question
Is 402 a term of the sequence:
8, 13, 18, 23, ................. ?
Solution
The given sequence is 8, 13, 18, 23, .................
Now,
13 – 8 = 5
18 – 13 = 5
23 – 18 = 5, etc.
Hence, the given sequence is an A.P. with first term a = 8 and common difference d = 5.
The general term of an A.P. is given by
tn = a + (n – 1)d
`=>` 402 = 8 + (n – 1)(5)
`=>` 394 = 5n – 5
`=>` 399 = 5n
`=> n = 399/5`
The number of terms cannot be a fraction.
So clearly, 402 is not the term of the given sequence.
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