POSITION TERM TO TERM RULE WORKSHEET

Problem 1 :

1) For each question use the rule to find the first five terms of the sequence.

2) Can you find the 10th term of the sequence ?

3) Can you find the 100th term of the sequence ?

Rule :

2n - 1

Solution

Problem 2 :

Write the term to term rule for the sequence given below, then work out the next two terms.

4, 9, 14, 19, 24, .......

a) Is the number 37 in the sequence.

Solution

Problem 3 :

Calculate the difference between the 10th term and 50th term of the sequence

9, 14, 19, 24, ... ...

Solution

Problem 4 :

Find the nth term for each of the following sequences

1/2, 3/4, 5/6, 7/8, .............

Solution

Answer Key

1)  1st term = 1, 2nd term = 3, 3rd term = 5, 4th term = 7 and 5th term = 9

10th term = 19, 100th term = 199

2)  an = 5n - 1, a5 = 24, a6 = 29, n = 7

3)  an = 5n + 4, a10 = 54, a50 = 254

4) (2n - 1)/2n

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