11th Standard CBSE Mathematics Unit 6 Sequences and Series One Mark Question with Answer Key Rupa Das - Bhubaneswar Aug-28 , 2019
Sequences and Series
Sequences and Series One Mark Questions
11th Standard CBSE
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Reg.No. :
Mathematics
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If first and last terms ofanAP. are 3 and 18 and the sum of its terms is 84, then number of terms will be ______.
(a)5
(b)6
(c)7
(d)8
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If the sum of n terms of an AP. is 4n2 + 7n, then its nth term is ______.
(a)8n -3
(b)8n + 3
(c)3n - 8
(d)None of these
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If Sn denote the sum of n terms of an AP. whose first term is a and common difference is d given by is d given by d = Sn - kSn-1 + Sn-2 then K is equal to ______.
(a)5
(b)2
(c)3
(d)4
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If the first, 'second and last term of an AP. are a, band 2a respectively then its sum is equal to ______.
(a)\(\frac { b }{ 2(b-a) } \)
(b)\(\frac { a }{ 3(b-a) } \)
(c)\(\frac { 3ab }{ 2(b-a) } \)
(d)\(\frac { 2ab }{ 3(b-a) } \)
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If the first term of an AP. is 5 and common difference is - 3 then sum of its 60 terms is equal to ______.
(a)-1050
(b)-5010
(c)3010
(d)None of these
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If a, b, c are in G.P. and \({ a }^{ \frac { 1 }{ x } }={ b }^{ \frac { 1 }{ y } }={ c }^{ \frac { 1 }{ z } }\), then xyz are in ______.
(a)A.P
(b)G.P
(c)None of these
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The three geometric means between the numbers 1 and 81 are ______.
(a)3, 6 and 18
(b)3, 9 and 27
(c)3, 6 and 27
(d)None of these
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In a G.P. if the (m + n)th terms is p and (m - n)th terms is q then its mth terms is ______.
(a)-1
(b)pq
(c)\(\sqrt { pq } \)
(d)\(\frac { 1 }{ 2 } \left( p+q \right) \)
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If the sum of first n even natural numbers is equal to m times the sum of first n is odd natural numbers then m is equal to ______.
(a)\(\frac { n-1 }{ n } \)
(b)\(\frac { n+1 }{ n } \)
(c)\(\frac { 2n+1 }{ n } \)
(d)None of these
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Sum of n terms of ,the series \(\sqrt { 2 } +\sqrt { 8 } +\sqrt { 18 } +\sqrt { 32 } +\)..... is ______.
(a)\(\left[ \frac { n(n+1) }{ 2 } \right] ^{ 2 }\)
(b)n2 (n+3)
(c)\(\frac { n(n+1) }{ \sqrt { 2 } } \)
(d)2
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The sum to infinity of \(\frac{1}{3}+\frac{3}{9}+\frac{5}{27}+\frac{7}{81}+...+\infty\) is ______.
(a)2
(b)1
(c)0
(d)3
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The sum of the square of (n - 1) natural numbers is ______.
(a)\(\frac{n(n+1)(2n+1)}{6}\)
(b)\(\frac{n(n-1)(2n-1)}{6}\)
(c)\(\frac{(n+1)(n-1)(n-2)}{6}\)
(d)None
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The seen to infinity of the series \(1+2.\frac{1}{2}+3.\frac{1}{2^2}+4.\frac{1}{2^3}+...+\infty\) ______.
(a)4
(b)5
(c)1
(d)None
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The sum of infinity of the G.P. a, ar, ar2, ar3, ...... \(\infty\) is ______.
(a)\(\frac{a-1}{1-r}\)
(b)\(\frac{a}{1-r}\)
(c)\(\frac{2a}{1-r}\)
(d)\(\frac{a}{1-r^2}\)
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Answers
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(d)
8
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(a)
8n -3
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(b)
2
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(c)
\(\frac { 3ab }{ 2(b-a) } \)
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(b)
-5010
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(a)
A.P
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(b)
3, 9 and 27
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(c)
\(\sqrt { pq } \)
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(b)
\(\frac { n+1 }{ n } \)
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(c)
\(\frac { n(n+1) }{ \sqrt { 2 } } \)
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(a)
2
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(b)
\(\frac{n(n-1)(2n-1)}{6}\)
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(d)
None
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(b)
\(\frac{a}{1-r}\)
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