The term of an arithmetic sequence is given by .

MATHEMATICS · Multi-part · A Level · Mathematics · Sequences and series · Sequences and series

Problem

The

n^{\text{th}}

term of an arithmetic sequence is given by

u_n = 15 - 3n

. (1) State the value of the first term,

u_1

. (2) Given that the

n^{\text{th}}

term of this sequence is

-33

, find the value of

n

. (3) Find the common difference,

d