Question

Find the next term of the geometric sequence:

6, 36, 216, 1296…

• A. 6666
• B. 7766
• C. 7776
• D. 7676

Answer 1

The correct option is C 7776

The given geometric series is 6, 36, 216, 1296…

Let us divide each term in the above sequence by the term preceding it.

$36÷6=6$

$216÷36=6$

$1296÷216=6$

We observe that each term in the above sequence is 6 times the term preceding it.

So, the next term in the above sequence = $1296\times 6=7776$