Question

Find the 17th term of the arithmetic sequence whose common difference is d=4 and whose first term is (see picture attached)

Answer 1

45

Explanation:

The information given from the question;

• An arithmetic sequence with;
• Common difference, d = 4
• The first term, a₁= -3

We are required to determine the 17th term of the sequence;

• We need to know that, to determine a given term in an arithmetic sequence, nth term, we use the formula;

`T_n=a + (n-1)d`

Therefore, to get the 17th term; n = 17

`T_1_7=-3+(17-1)4`

`T_1_7=-3+16(4)\\ = -3 + 48\\ = 45`

Hence the 17th term of the sequence is 45