Chapter 9 : Sequences and Series
Q. an=nn2+54
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Q. an=n22n;a7
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Q. an=2n36
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Q.

To find first five terms of the given series a1=3, an=3a(n−1)+2 for all n>1 and hence find the corresponding series.

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Q. an=(1)n1n3;a9
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Q. an=n(n2)n+3;a20
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Q. The Fibonacci sequence is defined by 1=a1=a2=2, an=an1+an2, n>2. Find an+1an, for n=1, 2, 3, 4, 5
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Q. a1=a2=2, an=an11, n>2
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Q. an=4n3;a17, a24
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Q. a1=1, an=an1n, n2
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Q. an=(1)n15n+1
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Q. an=n(n+2)
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Q. an=2n
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Q. an=nn+1
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Q. If the sum of a certain number of terms of the A.P. 25, 22, 19, ... is 116. Find the last term.
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Q. Find the sum of all natural numbers lying between 100 and 1000, which are multiples of 5.
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Q. How many terms of the A.P. 6, 112, 5, ... are needed to give the sum 25?
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Q. In an A.P., if pth term is 1q and qth term is 1p, prove that the sum of first pq terms is 12(pq+1), where pq.
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Q. Find the sum of odd integers from 1 to 2001.
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Q. In an A.P., the first term is 2 and the sum of the first five terms is one-fourth of the next five terms. Show that 20th term is 112.
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