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In-an-A-P-the-common-difference-is-2-and-the-largest-term-exceeds-the-middle-term-by-58-Find-the-smallest-term-of-the-A-P-

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Question Number 19683 by 786786AM last updated on 14/Aug/17
In an A.P; the common difference is −2 and the largest term exceeds the middle term by 58. Find the smallest term of the A.P.
InanA.P;thecommondifferenceis−2andthelargesttermexceedsthemiddletermby58.FindthesmallesttermoftheA.P.
Answered by Rasheed.Sindhi last updated on 15/Aug/17
Let m is a middle term m+58 is the largest term. ∴ m−58 is the smallest term. AP will be: m+58,m+56,...,m,m−2,...,m−58 The smallest term=m−58 m: Middle term
Letmisamiddletermm+58isthelargestterm.∴m−58isthesmallestterm.APwillbe:m+58,m+56,…,m,m−2,…,m−58Thesmallestterm=m−58m:Middleterm

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