Priya is practising for her P3 Maths quiz. She notices a number sequence where the differences between consecutive terms increase by 2 each time. The first five terms of the sequence are: 3, 7, 13, 21, 31, ... What is the 6th term?
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Worked Solution
Step 1: Find the differences between consecutive terms.
7 − 3 = 4
13 − 7 = 6
21 − 13 = 8
31 − 21 = 10
Step 2: Identify the pattern in the differences.
The differences are 4, 6, 8, 10, ... — they increase by 2 each time.
Step 3: Find the next difference.
The 5th difference (to get from the 5th to the 6th term) = 10 + 2 = 12.
Step 4: Calculate the 6th term.
31 + 12 = 43.
Answer: The 6th term is 43.
Correct answer: 43
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