ﺍﻻﻣﺎﺭﺍﺕ ﺍﻟﻌﺮﺑﻴﺔ ﺍﻟﻤﺘﺤﺪﺓ
United Arab Emirates                                                                              ﻫﻴﺌﺔ ﺍﻟﺸﺎﺭﻗﺔ ﻟﻠﺘﻌﻠﻴﻢ
Sharjah Private Education Authority                                                           ﺍﻟﺨﺎﺹ ﻣﺪﺭﺳﺔ ﺍﻟﻮﺭﺩﻳﺔ
Rosary Private School / Muwaileh
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British Curriculum
                               Worksheet (Sequences and Functions)
                                               MATHEMATICS
   Name :                                                                           Year: 8
  1: Find the nth term ( Position to term rule) for each of the following sequences.
       1)   1.5, 2, 2.5, 3, ... ..
       2)   13, 22, 31, 40, ... ...
       3)   100, 125, 150, 175, ... ...
       4)   20, 23, 26, 29, ... ...
       5)   -10, -13, -16, -19, ... ...
  2: The nth term for some sequences are given below. Find the First 5 terms for each
     sequence
      1) 50 − 5n
     2) 3n – 2
     3)5n + 3
     4)9n + 10
  3: Complete these inverse function machines and equations.
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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
5. Calculate the sum of the 100th term and 200th term of the sequence
     6, 15, 24, 33, ... ...
6 : Write down the next term in this sequence.
       (a)    256      128      64     32     ..........
       (b) Describe the rule for continuing the sequence.
7 : Find the 23rd term of the given sequence: -14, -20, -26, -32, -38,……
8 : The nth term of a sequence is 2𝑛.
    (a) Write down the first and second terms of the sequence: _____, _____, ...
    (b) Explain why 85 is not a term in the sequence.
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9.
     10.
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