Question

1/5 + 1/45 + 1/117 + ............. + 1/3965 (pls solve it)

Answer 1

Answer:

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Answer 2

The missing value is 1/3101

To find,

The value comes after 1/117

Given,

1/5 + 1/45 + 1/117 + ............. + 1/3965

Solution,

    an= a + (n-1)d (an = nth term)

        = 1/5 + [1/117 - 1]1/9

        = 1/5 + [1-117/117]1/9

        = 1/5 + [116/117]1/9

        = 1/5 + [0.991]1/9

        = 1/5 + 0.11011

        = 0.31011

        = 1/3101

The sequence is 1/5 + 1/45 + 1/117 + 1/3101 + 1/3965

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