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An Ap consist of 37th term …

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An Ap consist of 37th term the sum of 3 middle most term is 225 and sum of the last 3 term is 429 , find the Ap

    • Posted by Ashish Singh 6 years, 9 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    #@Prince Arya 6 years, 9 months ago

    Let the 1st term be 'a' and common difference be 'd'. No.of terms,n=37 N+1/2=19 Three middle term are 18th,19th and 20th According to questions (a+17d)+(a+18d)+(a+19d)=225 3a+54d=225 a+18d=75 i.e.a=75-18d NOW, sum of last three term i.e. (a+34d)+(a+35d)+(a+36d)=429 a+35d =143 75-18d+35d=143 16d=64 d=4 a=75-18×4=3 AP=3,7,11.....

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