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? [3 MARKS]

Answer 1

$6^{th}$: 1 Mark
$4^{th}$: 1 Mark
Answer: 1 Mark

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$=77–37=40.$