Download Nth Term Of A Sequence

nth term of a sequence
Question 1
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National curriculum reference: NA6a
Date: November 1998
Paper: 5
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Here are the first five terms of a sequence.
17, 14, 11, 8, 5
Find, in terms of n, an expression for the nth term of the sequence.
(2 marks)
Question 2
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National curriculum reference: NA6a
Date: June 1997
Paper: 3
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Here are the first terms of a number sequence.
5, 8, 11, 14, 17,
Write down an expression for the nth term of the sequence.
Question 3
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National curriculum reference: NA2a
Date: June 1999
Paper: 6
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(a) Find the prime factors of 4891 by writing 4891 as 702  32.
(2 marks)
(b) By writing the nth term of the sequence 1, 3, 5, 7, . . . as (2n  1),
or otherwise, show that the difference between the squares of any
two consecutive odd numbers is a multiple of 8.
(3 marks)
Question 4
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National curriculum reference: NA6a
Date: June 2003
Paper: 5
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Here are the first 5 terms of an arithmetic sequence.
6, 11, 16, 21, 26
Find an expression, in terms of n, for the nth term of the sequence.
...............................
(2 marks)
Question 5
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National curriculum reference: NA6a
Date: March 2002
Paper: 10
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The first five terms of an arithmetic sequence are
2,
5,
8,
11,
14
Write down, in terms of n, an expresson for the nth term of this sequence.
...............................
(2 marks)
Question 6
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National curriculum reference: NA6a
Date: November 2002
Paper: 6
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Here are the first five number of a simple sequence:
3, 12, 27, 48, 75.
(a) Write down the next two numbers of the sequence.
.............. , ..............
(1 mark)
(b) Write down, in terms of n, an expression for the nth term of this sequence.
...............................
(2 marks)