Question

7,24,75,228,.........?

Answer 1

Hey there!!

__________________

7,24,75,228...?

Common thing in this sequence is that

7 × 3 + 3 = 24

24 × 3 + 3 = 75

75 × 3 + 3 = 228

228 × 3 + 3 = 687

Answer 2

$\textsf{\underline{\underline{Answer :-}}}$

7 , 24 , 75 , 228 , 687

The next number is 687

$\textsf{\underline{The Logic used -}}$

Each number is Multiplied by 3 and then added by 3 to get the next number.

$\textsf{\underline{\underline{Explanation :- }}}$

$\sf{\implies} \: (7 \times 3) + 3 = 24$

⟹ 21 + 3 = 24

⟹ 24 = 24

$\sf{\implies} \: (24 \times 3) + 3 = 75$

⟹ 72 + 3 = 75

⟹ 75 = 75

$\sf{\implies} \: (75 \times 3) + 3 = 288$

⟹ 225 + 3 = 288

⟹ 288 = 288

Following the same pattern :

$\sf{\implies} \: (228 \times 3) + 3$

$\sf{\Rightarrow} \: 684 + 3$

$\sf{\Rightarrow} \: 687$

$\therefore$ The next number is 687