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An A.P consists of 37 terms …

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An A.P consists of 37 terms . The sum of three middle most terms is 225 and the sum of last three terms is 429. Find the A.P

    • Posted by :) ** 4 years, 4 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sanket Arjun 4 years, 4 months ago

    Middle most terms=(37+1)/2=19th. Three middle most terms are 18th,19th and 20th. || A/q. a18 +a19+a20=225. || (a+17d)+(a+18d)+(a+19d)=225.|| 3(a+18d)=225. || a+18d=75. || a=75-18d || Next, (a+34d)+(a+35d)+(a+36d)=429. || 3(a+35d)= 429.|| a+35d=143. ||. (75-18d)+35d=143. ||. 17d=68. ||. d=4.

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