Sequence & Series (WS-2)

Question No: 1 [ Maximum Mark: 6 ] (Do not use GDC)

Consider the sequence \( 11,15,19, \ldots. .643\)
(a)	Find the number of terms in the sequence	[3 marks]
(b)	Find the sum of all terms in the sequence	[3 marks]

Formula Sheet

Answer : (a) \(n=159 \) (b) \( S_{159}=13515\)

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Question No: 2 [ Maximum Mark: 6 ] (Do not use GDC)

Find the sum of the series \( 8+6+4+\ldots \ldots+(-32)\)

Formula Sheet

Answer : \( s_{21}=-252\)

GDC Support

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Question No: 3 [ Maximum Mark: 6 ] (Do not use GDC)

\(k+5,2 k+1,4 k-3 \) are the consecutive terms of an arithmetic sequence.
(a)	Find ‘k’	[3 marks]
(b)	find the three terms of the sequence	[3 marks]

Formula Sheet

Answer : (a) \( k=0 \) (b) \(5,1,-3 \)

GDC Support

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Question No: 4 [ Maximum Mark: 7 ] (Do not use GDC)

The general term of an arithmetic sequence is \(u_n=3+4(n+1) \)
(a)	Find the first two terms of the sequence	[2 marks]
(b)	Find the common difference d.	[2 marks]
(c)	Find the sum of 50 terms of the sequence	[3 marks]

Formula Sheet

Answer : (a) \(u_1=11, u_2=15 \) (b) \(d=4 \) (c) \( S_{50}=1950\)

GDC Support

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Question No: 5 [ Maximum Mark: 7 ] (Do not use GDC)

In an arithmetic sequence, the 12th term is 24 and the 24th term is 42.
(a)	Find the common difference ‘d’	[2 marks]
(b)	Find the first term \( u_1\)	[2 marks]
(c)	Which term of the sequence is 52.5	[2 marks]

Formula Sheet

Answer : (a) \( d=1.5\) (b) \( u_1=7.5\) (c) \(31st \) term

GDC Support

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Question No: 1 [ Maximum Mark: 6 ] (Do not use GDC)

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Question No: 2 [ Maximum Mark: 6 ] (Do not use GDC)

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Question No: 3 [ Maximum Mark: 6 ] (Do not use GDC)

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Question No: 4 [ Maximum Mark: 7 ] (Do not use GDC)

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Question No: 5 [ Maximum Mark: 7 ] (Do not use GDC)

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Sequence & Series (WS-2)

Question No: 1 [ Maximum Mark: 6 ] (Do not use GDC)

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Question No: 2 [ Maximum Mark: 6 ] (Do not use GDC)

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Question No: 3 [ Maximum Mark: 6 ] (Do not use GDC)

.

Question No: 4 [ Maximum Mark: 7 ] (Do not use GDC)

.

Question No: 5 [ Maximum Mark: 7 ] (Do not use GDC)

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Math Courses

Features

General About

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