The nth term of an arithmetic progression is given by $v_n = 15 - 3n$.

Question

SLPaper 1

The nth term of an arithmetic progression is given by $v_n = 15 - 3n$ .

State the value of the initial term, $v_1$ .

[1]

Verified

Solution

$v_1=12$ A1

Given that the nth term of this progression is -33, find the value of n.

[2]

Verified

Solution

$15-3n=-33$ M1

$n=16$ A1

Find the common difference, $d$ .

[2]

Verified

Solution

valid approach to find $d$ M1

$v_2-v_1=9-12$ OR recognize gradient is -3 OR attempts to solve $-33=12+15d$ M1

$d=-3$ A1

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