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Complete the first seven square numbers - OCR - GCSE Maths - Question 2 - 2020 - Paper 3

Question 2

Complete the first seven square numbers. 1 4 9 16 ........ 36 49 Write the missing term in each sequence. (i) 18 16 14 ........ 10 8 (ii) ........ 14 20 26 32 38

Worked Solution & Example Answer:Complete the first seven square numbers - OCR - GCSE Maths - Question 2 - 2020 - Paper 3

Step 1

Complete the first seven square numbers.

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Answer

The first seven square numbers are generated by squaring the integers from 1 to 7. The sequence is as follows:

1 = $1^2$ , 4 = $2^2$ , 9 = $3^2$ , 16 = $4^2$ , 25 = $5^2$ , 36 = $6^2$ , 49 = $7^2$ .

Thus, the missing term is 25.

Step 2

Write the missing term in each sequence.

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Answer

(i) The sequence goes from 18 to 10, decreasing by 2 and then by 2 again. Therefore, the missing term is 12, giving us:

18, 16, 14, 12, 10, 8.

(ii) The sequence increases by 6 for each subsequent term. Thus, the missing term before 14 is 8:

8, 14, 20, 26, 32, 38.

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