Sequences exerci
1.(a) 2, 3, 6, 11, 18, . . .
(i) Write down the next two terms in this quence.
Answer(a)(i) ....................... , ....................... [2]
(ii) Describe, in words, the rule for continuing this quence.
Answer(a)(ii) ............................................................................................................................... [1]
(b) The nth term of a different quence is 4n – 3.
Work out the first three terms in this quence.
Answer(b) ....................... , ....................... , ....................... [1]
社会礼仪
2.Find the nth term of each quence.
(a) 4, 8, 12, 16, 20, .......
读书的滋味
Answer(a) ................................................ [1]城乡发展一体化
(b) 11, 20, 35, 56, 83, .......
Answer(b) ................................................ [2]
3. 5, 11, 21, 35, 53, ...
Find the nth term of this quence.
Answer ................................................ [2]
4.(15s33)(a) Here are the first four terms of a quence.
5 8 11 14
(i) Write down the next term in this quence.
Answer(a)(i) ............................................... [1]
(ii) Write down the rule for finding the next term of this quence.
Answer(a)(ii) .............................................................................................................................. [1]
(iii) Find an expression for the nth term of this quence.
Answer(a)(iii) ............................................... [2]
(iv) Explain why the number 300 is not in this quence.
Answer(a)(iv) ............................................................................................................................. [1]
(b) Here are the first four terms of another quence.跟花有关的诗句
4 7 11 16
(i) Write down the next two terms in this quence.
Answer(b)(i) ..................... , ..................... [2]
(ii) Write down the rule for continuing this quence.
Answer(b)(ii) .............................................................................................................................. [1]
5.The first four terms of quences A, B, C and D are shown in the table.
(a) Complete the table.
[8]
英文自我介绍简单(b) Which term in quence A is equal to ?
Answer(b) ................................................. [2]
(c) Which term in quence D is equal to 725?
Answer(c) ................................................. [2]
6.(a) Here are the first three terms of a quence.
The nth term is given by
Work out the value of U39 .
Answer(a) U39 = ................................................ [2]
牛油果咋吃
(b) Here are the first three terms of another quence.
By comparing this quence with the quence in part (a), find a formula for the nth term, Vn .
Answer(b) Vn = ................................................ [1]
7.(14w31)
长久
Diagrams 1 to 4 show a quence of shapes made up of lines and dots at the interctions of lines.
(a) (i) Complete the table showing the number of dots in each diagram.
(ii) Write down the rule for continuing the quence of dots.
Answer(a)(ii) ............................................................................................................................... [1]
(iii) Write down an expression, in terms of n, for the number of dots in Diagram n.
Answer(a)(iii) ................................................ [2]