# In some arithmetic sequence, the sum of the digits of the third term is 27 and the fourth term is 81. What is the fifth term in this arithmetic sequence?

I have a problems on GMAT, My questions is –

In some arithmetic sequence, the sum of the digits of the third term is 27 and the fourth term is 81. What is the fifth term in this arithmetic sequence?

Default Asked on October 13, 2017 in

In some arithmetic sequence, the sum of the digits of the third term is 27 and the fourth term is 81. What is the fifth term in this arithmetic sequence?

According to the data given in the question, all the numbers are in arithmetic sequence.
The third term in the sequence is 27 and the fourth term in the sequence is 81.
From this we can say that the numbers are in the sequence of increasing powers of 3,
because 3 raise to the power 3 = 27 and 3 raise to the power four is 81.
This means we have to find out the value of 35, which is ultimately the fifth term of the
sequence.
∴ 35 = 243.

Brong Answered on October 13, 2017.