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WAEC Mathematics 2015 Paper

Question : 5

Total: 45

Find the 7^th term of the sequence: 2, 5, 10, 17, 6,...

Solution:

Concept:

The sequence is formed by adding consecutive odd numbers:

3, 5, 7, 9, 11, 13

Explanation:

The given sequence is

2, 5, 10, 17, 26, \ldots

The consecutive differences are:

5 - 2 = 3

10 - 5 = 5

17 - 10 = 7

26 - 17 = 9

So the next differences are

11

and

13

6th term:

26 + 11 = 37

7th term:

37 + 13 = 50

Answer:

50

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