Determine the next two terms in this sequence: 2, 7, 9, 16, 25, ... , ...

In this sequence, there is no common difference between one term and the next making it more challenging to solve. However, if you look at the terms closely, you can see that each term is the sum of the previous two terms of the sequence. ie. 2 + 7 = 9, 7 + 9 = 16 etc. We can therefore calculate the next two terms: 16 + 25 = 41, 25 + 41 = 66. The answers are 41 and 66.

Answered by Eleanor W. Maths tutor

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