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1 Pure Mathematics

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Question 50
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A sequence a1,a2,a3,… a_1, a_2, a_3, \dots\,a1​,a2​,a3​,… is defined by

a1=15an+1=an+d,n≥1 \begin{aligned}a_1 &= 15 \\a_{n+1} &= a_n + d, \quad n \geq 1\end{aligned} a1​an+1​​=15=an​+d,n≥1​

Given a4=6a_4 = 6a4​=6

a.

Find the value of ddd.

[3]
b.

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

[2]

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