SOLUTION: The central exhibit at last years big book fair was a display of seven special rare books. According to the organizer, an unusual feature of the display was the seven books were a

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Question 987393: The central exhibit at last years big book fair was a display of seven special rare books. According to the organizer, an unusual feature of the display was the seven books were arranged so that if one wrote down the number of pages in each then one would get and arithmetic progression. Find the number of pages for one of these books given that there were 1120 pages total for these seven rare books.
Answer by stanbon(75887) About Me  (Show Source):
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The central exhibit at last years big book fair was a display of seven special rare books. According to the organizer, an unusual feature of the display was the seven books were arranged so that if one wrote down the number of pages in each then one would get and arithmetic progression. Find the number of pages for one of these books given that there were 1120 pages total for these seven rare books.
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Formula:: s(n) = (n/2)(a(1)+a(n))
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1120 = (7/2)(a(1)+a(1)+6d)
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1120 = 7(a(1)+3d)
160 = a(1)+3d
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Possible answer: a(1) = 1 ; d = 53
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There are other possible answers
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Cheers,
Stan H.
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