Question

301 is any term of sequence 5 11 17 and 23

Answer 1

11-5=17-11=23-17=6
301-5=296
296 is not divisible by 6
So 301 is not any term of the sequence

Answer 2

Answer :

    We need to find whether 301 is any term of the sequence 5, 11, 17, 23, ...

The first term, a = 5

and common difference, d = 6

Let, the n-th term is 301

Then,

    a + (n - 1)d = 301

    or, 5 + (n - 1) * 6 = 301

    or, 5 + 6n - 6 = 301

    or, 6n - 1 = 301

    or, 6n = 301 + 1 = 302

    or, n = 302/6

Since n is not an integer, the term 301 cannot be in the given sequence.

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