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1.4 Sequences and Series

1.4 Sequences and Series

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Question 37

A sequence $u_1, u_2, u_3, \dots\,$ is defined by

$u_1 = 3$

$u_{n+1} = u_n + c$ , $\geq 1\,$

where $c\,$ is a constant.

It is given that $u_5 = 23$ .

a.

Find the value of $c$ .

[2]

b.

Find an expression for $u_n\,$ in terms of $n$ .

[2]

Markscheme

1.4 Sequences and Series Questions

A Level
Maths
1.4 Sequences and Series

308 exam-style questions on OCR A Level Maths 1.4 Sequences and Series, covering 1.4.1 Binomial expansion for positive integer n, 1.4.2 Link to binomial probabilities, 1.4.3 Binomial expansion for rational n (A-level only), 1.4.4 Validity of the expansion (A-level only), 1.4.5 Sequences (A-level only), 1.4.6 Increasing, decreasing and periodic sequences (A-level only), 1.4.7 Sigma notation (A-level only), 1.4.8 Arithmetic sequences and series (A-level only), 1.4.9 Geometric sequences and series (A-level only), 1.4.10 Sum to infinity of a geometric series (A-level only), and 1.4.11 Modelling with sequences and series (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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