Question

Find the $6^{th}$ term of the sequence: 3, 9, 27, 81…

• A. 243
• B. 729
• C. 339
• D. 999

Answer 1

The correct option is B 729

The given sequence is 3, 9, 27, 81…

Let us divide each term of the sequence by the term preceding it:

$9÷3=3$

$27÷9=3$

$81÷27=3$

We observe that each term in the sequence is 3 times the term preceding it.

The $4^{th}$ term of the sequence = 81

The $5^{th}$ term of the sequence = 3$\times$($4^{th}$ term of the sequence) = 3$\times$81 = 243.

So, the $6^{th}$ term of the sequence = 3$\times$($5^{th}$ term of the sequence) = 3$\times$243 = 729.