Question

The $n^{th}$ term in a pattern is $2n^2+5$. What is the difference between $6^{th}$ and $4^{th}$ terms in the pattern?

• A. 40
• B. 77
• C. 30
• D. 37

Answer 1

The correct option is A 40

Given that, $n^{th}$ term is $2n^2+5$
Therefore,
$6^{th}term=2\times 6^2+5=2\times 36+5=77$
$4^{th}term=2\times 4^2+5=2\times 16+5=32+5=37$
Difference = 77 – 37 = 40.