1,3,8,18,35,61,98,?,? What’s next no in this series?

Question

1,3,8,18,35,61,98,?,? What’s next no in this series?

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Lydia 1 month 2021-08-18T04:04:38+00:00 1 Answer 0 views 0

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    2021-08-18T04:05:48+00:00

    Answer:

    Missing terms are

    148 and 212

    Step-by-step explanation:

    Given series is :

    1, 3, 8, 18, 35, 61, 98, ?, ?

    Let, two missing terms be x and y

    Now , As we can see that

    • 3 – 1 = 2 = (1)² + 1
    • 8 – 3 = 5 = (2)² + 1
    • 18 – 8 = 10 = (3)² + 1
    • 35 – 18 = 17 = (4)² + 1
    • 61 – 35 = 26 = (5)² + 1
    • 98 – 61 = 37 = (6)² + 1

    By this,

    we can conclude that

    difference between the two consecutive terms of the series is in the form

    n²+1 (where n will be a natural number).

    so,

    → x – 98 = (7)² + 1

    → x – 98 = 49 + 1

    → x = 50 + 98

    x = 148

    and,

    → y – 148 = (8)² + 1

    → y – 148 = 64 + 1

    → y = 65 + 148

    y = 213

    Therefore,

    The missing terms are 148 and 213.

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