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3 Unit A2 1: Pure Mathematics (A-level only)

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Question 49
60%

A sequence u1,u2,u3,… u_1, u_2, u_3, \dots\,u1​,u2​,u3​,… is defined by

u1=8un+1=un+k,n≥1 \begin{aligned}u_1 &= 8 \\u_{n+1} &= u_n + k, \quad n \geq 1\end{aligned} u1​un+1​​=8=un​+k,n≥1​

Given u5=32u_5 = 32u5​=32

a.

Find the value of kkk.

[3]
b.

Find an expression for un u_n\,un​ in terms of nnn.

[2]
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3 Unit A2 1: Pure Mathematics (A-level only) Questions

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