Title: nth term pdf
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Videos 288, 289 on www.corbettmaths.com
Question 1: Find the n th term for each of the following sequences
(a) 5, 8, 11, 14, ... ... (b) 9, 14, 19, 24, ... ... (c) 1, 3, 5, 7, ... ...
(d) 10, 14, 18, 22, ... ... (e) 2, 7, 12, 17, ... ... (f) 3, 9, 15, 21, ... ...
(g) 11, 31, 51, 71, ... ... (h) 20, 23, 26, 29, ... ... (i) 1, 7, 13, 19, ... ...
(j) 100, 125, 150, 175, ... ... (k) 13, 22, 31, 40, ... ... (l) 1.5, 2, 2.5, 3, ... ..
Question 2: Find the n th term for each of the following sequences
(a) 10, 7, 4, 1, ... ... (b) 6, 4, 2, 0, ... ... (c) 9, 4, -1, -6, ... ...
(d) 20, 10, 0, -10, ... ... (e) 5, -1, -7, -13, ... ... (f) 5, 4, 3, 2, ... ...
(g) -6, -13, -20, -27, ... ... (h) -10, -13, -16, -19, ... ... (i) 2.5, 2, 1.5, 1, ... ..
Question 3: Find the 100 th term for each sequence in Questions 1 and 2.
Question 4: The n th term for some sequences are given below.
Find the Mirst 5 terms for each sequence.
(a) 5n + 3 (b) 2n + 9 (c) 3n 2
(d) 10n 6 (e) 9n + 10 (f) n + 8
(g) 7n + 20 (h) 50 5n (i) 3.5n + 4
Question 5:
(a) Is 205 a term in the sequence 1, 5, 9, 13, ... ... ?
(b) Is 200 a term in the sequence 4, 10, 16, 22, ... ... ?
(c) Is 1000 a term in the sequence 50, 65, 80, 95, ... ... ?
(d) Is 999 a term in the sequence 11, 20, 29, 38, ... ... ?
(e) Is 458 a term in the sequence 5, 12, 19, 26, ... ... ?
CORBETTMATHS 2019
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Videos 288, 289 on www.corbettmaths.com
Question 6: Which term in the sequences below is the Mirst to be greater than 250?
(a) 9, 13, 17, 21, ... ...
(b) 2, 10, 18, 26, ... ...
(c) 1, 7, 13, 19, ... ...
Question 7: Find the n th term for each of the following sequences
(a) (b)
(c) (d)
(e) (f)
Question 8: Find the 20 th term for each of the sequences in Question 7.
Question 1: Calculate the difference between the 10 th term and 50 th term of the sequence
9, 14, 19, 24, ... ...
Question 2: Calculate the sum of the 100 th term and 200 th term of the sequence
6, 15, 24, 33, ... ...
Question 3: Calculate the difference between the 30 th term and 60 th term of the sequence
8, 3, -2, -7, ... ...
CORBETTMATHS 2019 !
Videos 288, 289 on www.corbettmaths.com
Question 4: Here are the nth terms of 4 sequences.
Sequence 1 nth term 4n + 3
Sequence 2 nth term 7n + 1
Sequence 3 nth term 14n
Sequence 4 nth term 8n - 1
For each sequence state whether the numbers in the sequence are
A Always multiples of 7
S Sometimes multiples of 7
N Never multiples of 7
Sequence 1 ............... Sequence 2 ............... Sequence 3 ............... Sequence 4 ...............
Question 5: Can you spot any mistakes?
CORBETTMATHS 2019
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