Foundation June 2022 Paper 3 Q8
8 Here are the first five terms of a number sequence.
3 8 13 18 23
(a) Write down the next two terms of this sequence. (1)
Jim says that 50 is a term in this sequence.
Jim is wrong.
(b) Explain why. (1)
| Answer | Mark | Mark scheme |
|---|---|---|
| 28 33 | B1 | cao |
| Answer | Mark | Mark scheme |
|---|---|---|
| Explanation | C1 | for explanation Acceptable examples all terms end in 3 or 8 there are no terms that end in 0 50 does not end in 3 or 8 48 and 53 are both in the sequence (could be shown) 48 is in the sequence and 50 is 2 more \(5n - 2 = 50\) so \(n\) is not a whole number. if it started at 0 then it would but it starts at 3 so it never will or shows sequence continuing up to and beyond 50 Not acceptable examples adding 5 each time will not lead to 50 (insufficient) it goes past 50 the closest number to 50 is 48 |
Additional guidance
One correct, one incorrect statement gets C1 as long as they are not contradictory.