Question

Find the 30th term of the following sequence. 1, 7, 13, 19, ... 174 175 180 181.

Answer 1

Checking if the sequence is an arithmetic sequence 7 - 1 = 6 13 – 7 = 6 Therefore the sequence is arithmetic, with a_0 = 1 and d = 6 a_n = a_0 + (n-1)d a_30 = 1 + (29)(6) = 175 Therefore the 30th term is 175.

Answer 2

The rule is : 6n - 5 to find the 30th term replace n with 30 6× 30 - 5 = 175