Question

Find the next term of the geometric sequence:

3, 15, 75, 375…

• A. 1575
• B. 1825
• C. 1525
• D. 1875

Answer 1

The correct option is D 1875

The given sequence is 3, 15, 75, 375…

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

$15÷3=5$

$75÷15=5$

$375÷75=5$

We observe that each term in the sequece is 5 times the term preceding it.

So, the next term in the geometric sequence = $375\times 5=1875$