6, 11, 16-. is an arithmetic sequence. Which is the first three digit number in this sequence?

Question

6, 11, 16….. is an arithmetic sequence. Which is the first three digit number in this sequence?

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Genesis 2 months 2021-09-25T05:00:55+00:00 1 Answer 0 views 0

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    2021-09-25T05:02:19+00:00

    Answer:

    101 is the first three digit number in the sequence.

    Step-by-step explanation:

    Here, in this sequence a=6; d=11-6=5.

    From the question:’The first three digit number’

    From this sentence we can infer that the three digit number we are going to find will be ≥100

    Therefore,tn ≥100

    => a+(n-1)d ≥100

    on substituting,

    => 6+(n-1)5 ≥100

    => 5n-5 ≥100-6

    => 5n ≥99 =>n=99/5

    =>n=19.8.

    Here the nth term can be taken as the 20th term i.e n=20th term.

    Therefore, the number present in 20th term will be our answer.

    so, t20= a+(n-1)d

               =6+(20-1)5

               =6+19(5)

               =6+95

               =101

    Hope it helps you:)

    All the best!!!

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