Question

If the $n^{th}$ term in a pattern is $2n^2+5$, then find the difference between $6^{th}$ and $4^{th}$ term.

• A. 30
• B. 10
• C. 15
• D. 40

Answer 1

The correct option is D 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$=77–37=40$