find the sum all odd number between 100and150in a.p​

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find the sum all odd number between 100and150in a.p​

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Faith 2 months 2021-11-28T11:06:04+00:00 2 Answers 0 views 0

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    2021-11-28T11:07:26+00:00

    The odd numbers between 100 & 150 are

    101,103,105,107,109,111,113,115,117,119,121,123,125,127,129,131,133,135,137,139,141,143,145,147,149

    total numbers = 25

    average = sum of numbers/ total number

    average =( 101+103+105…….+149) / 25

    average= 3024/25

    average = 120.96

    ORIGINAL ANSWER By priya

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    0
    2021-11-28T11:07:56+00:00

    Answer:

    Odd numbers lying between 100 to 200 are:

    101 , 103 , 105 , 107……..199

    AP= 101, 103 , 105,…..199

    Here,

    first term (a) = 101

    Common difference (d) = 2

    Tn = 199

    a+(n-1) × d = 199

    101 +(n-1) × 2 = 199

    101 + 2n -2 = 199

    2n = 199-99

    2n = 100

    n = 100/2 = 50

    Sn= N/2 × [ 2a+ (n-1) × d]

    S50 = 50/2 × [ 2 × 101 + (50-1) × 2]

    => 50/2 × [ 202 + 98]

    => 50/2 × 300

    => 25 × 300

    => 7500

    Hence,

    The sum of odd numbers between 100 to 200 is 7500.

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