Find the nth term of the seqence -15,-5,5,15…

Question

Find the nth term of the seqence -15,-5,5,15…

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Ruby 4 days 2021-10-11T01:45:43+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-11T01:46:59+00:00

    Answer

    10n – 25

    Given

    nth terms of sequence = -15, -5, 5,15…….

    Solution

    First term = a = -15

    Common Difference = d =

    d = b – a = -5 – (-15) = 10

    Nth term of ap = a + ( n-1) d

    => -15 + ( n-1 ) 10

    => -15 + 10n -10

    => 10n – 25 = Answer

    0
    2021-10-11T01:47:34+00:00

    10n + 25

    Step-by-step explanation:

    Given:-

    A.P. :- -15, -5, 5, 15…

    To find:-

    • \sf n^{th} term of sequence

    Solution:-

    First term of AP (a) = -15

    Common difference (d) = -5 – (-15)

    = 10

    We know that,

    \:\:\star\;\sf \underline{ a_n = a + ( n - 1 )d}

    :\implies\sf -15 + ( n - 1 ) 10 \\ \\ :\implies\sf -15 + 10n - 10 \\ \\ :\implies\bf {\underline{\blue{10n - 25}}}

    \rule{200}{4}

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