Question

Find the $5^{th}$ term of the sequence: 2, 10, 50, 250…

• A. 1200
• B. 1300
• C. 1250
• D. 1150

Answer 1

The correct option is C 1250

The given sequence is 2, 10, 50, 250…

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

$10÷2=5$

$50÷10=5$

$250÷50=5$

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

The $4^{th}$ term of the sequence = 250

So, the $5^{th}$ term of the sequence = 5$\times$($4^{th}$ term of the sequence) = 5$\times$250 = 1250.