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coronadohayden
16.12.2019 •
Mathematics
Thirty-one books are arranged from left to right in order of increasing prices. the price of each book differs by $2 from that of each adjacent book. the price of the book at the extreme right is equal to the price of the middle book plus a book adjacent to the middle one. give an expression for the cost of the $n$th book in terms of $n$.
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Ответ:
Case 1: The last book costs the same as the middle book and one to its right. Then
x + (x+2) = x + 30
x = 28
However, this means the leftmost book costs x-30 = -2 dollars, which is unlikely.
Case 2: The last book costs the same as the middle book and one to its left. Then
x + (x-2) = x + 30
x = 32
In this case, the costs of the books are
$2, $4, $62.
The nth book costs 2n dollars.
Ответ:
StartFraction StartRoot 3 EndRoot Over 2 EndFraction