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Here are the first four terms of a sequence - OCR - GCSE Maths - Question 3 - 2023 - Paper 1
Question 3
Here are the first four terms of a sequence. 5 12 19 26 (a) Write down the next term in the sequence. (b) Explain how you worked out your answer.
Worked Solution & Example Answer:Here are the first four terms of a sequence - OCR - GCSE Maths - Question 3 - 2023 - Paper 1
Step 1
(a) Write down the next term in the sequence.
Answer
To find the next term in the sequence, we will first determine the pattern in the given terms: 5, 12, 19, 26.
We can calculate the differences between the consecutive terms:
- From 5 to 12: 12 - 5 = 7
- From 12 to 19: 19 - 12 = 7
- From 19 to 26: 26 - 19 = 7
The difference between each term is 7. Therefore, to find the next term, we will add 7 to the last term of the provided sequence:
26 + 7 = 33.
Thus, the next term in the sequence is 33.
Step 2
(b) Explain how you worked out your answer.
Answer
I observed the sequence of terms provided and calculated the differences between each pair of consecutive terms. Each term increased by a constant amount of 7. Recognizing this pattern allowed me to deduce that the next term would be obtained by adding 7 to the last term of the sequence, which is 26. Therefore, the next term is 33.