Question

33rd term 189.6, 172.3, 155​

Answer 1

`a_(33)` = - 364

Explanation:

There is a common difference between consecutive terms. that is

d = 172.3 - 189.6 = 155 - 172.3 = - 17.3

This indicates the sequence is arithmetic with n th term

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 189.6 and d = - 17.3 , thus

`a_(33)` = 189.6 + (32 × - 17.3) = 189.6 - 553.6 = - 364