Foundation November 2024 Paper 2 Q2

EdexcelCurrent spec5 marksSequences

2 Here are the first five terms of a number sequence.

\[11 \qquad 15 \qquad 19 \qquad 23 \qquad 27\]

(a)

(i) Write down the next term of the sequence. (1)

(ii) Explain how you found your answer to part (a)(i) (1)

The 14th term of the sequence is 63

(b) Find the sum of the 16th term and the 17th term of the sequence. (2)

Felix says that 98 is a term of the sequence.
Felix is wrong.

Mark scheme (a)

Scheme	Marks
(i) 31	B1
(ii) ‘The difference between the numbers is 4’ is not sufficient Answer: +4	B1
	(2)

B1: (i) (might write more eg 31, 35, 39…)

B1: (ii) add 4, it goes up in 4, 27 + 4, \(4n + 7\)
can be awarded for +4 seen joining numbers in list

Scheme	Marks
71 and 75 identified	M1
Correct answer scores full marks (unless from obvious incorrect working) Answer: 146	A1
	(2)

Mark scheme (c)

Scheme	Marks
The sequence goes 95, 99 98 is even (23^rd term is) 99 not 98 It jumps straight to 99 It cannot be an even number It can only be an odd number Because the sequence goes up in 4’s and starts with an odd number (98 – 7) ÷ 4 is not a whole number All the numbers in the sequence are not divisible by 2 and this is The formula is \(4n + 7\) All of the numbers in the sequence end with 1, 3, 5, 7 or 9 Answer: eg all the numbers in the sequence are odd numbers	B1
	(1)
	(5 marks)