Class 11

Math

Co-ordinate Geometry

Straight Lines

Determine the next term $20,24,33,49,74,110,?$

- $133$
- $147$
- $159$
- $163$
- $171$

$20,24,33,49,74,110,...$

Let the number be $x$

difference $24−20=4,33−24=9,49−33=16,74−49=25,110−74=36,x−110=49$

$⟹24−20=2_{2},33−24=3_{2},49−33=4_{2},74−49=5_{2}110−74=6_{2}, x−110=7_{2}$

So, $110+49=159$