Sequences and Series

54%

A sequence $a_1, a_2, a_3, \dots\,$ is defined by

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

Given $a_4 = 6$

a.

Find the value of $d$ .

[3]

b.

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

[2]

54%

A sequence $a_1, a_2, a_3, \dots\,$ is defined by

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

Given $a_4 = 6$

a.

Find the value of $d$ .

[3]

b.

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

[2]

Sequences and Series Questions