15 books are arranged as shown in the figure. The number of pages in each book is given by the expression 4n3 - 2n2 + n. Here, n represents the position of the book. What is the difference in the number of pages between the books that are present at the 10th position when the counting is done from left and right ends?
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Answer:
when the counting is done from left
n=10
no of pages= 4(10)³–2(10)²+10 = 4000–200+10=3810
when the counting is done from right
n=6
now no of pages= 4(6)³–2(6)²+6= 864–72+6=798
so, the difference in the number of pages =3810–798=3012
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