Question

Choose the correct altrnative that will continue the same pattern and replace the

question mark (?) in the given series.

2, 12, 36, 80, 150, ?​

Answer 1

Missing number (?) = 252

Step-by-step explanation:

The given sequence are 2, 12, 36, 80, 150, ?.

The given sequence,

The pattern are follow, ($x^{3}$ + $x^{2}$).

2 = ($1^{3}$ + $1^{2}$) = 1 + 1 = 2,

8 = ($2^{3}$ + $2^{2}$) = 8 + 4 = 12,

36= ($3^{3}$ + $3^{2}$) = 27 + 9 = 36,

80 = ($4^{3}$ + $4^{2}$) = 64 + 16 = 80,

150 = ($5^{3}$ + $5^{2}$) = 125 + 25 = 150 and

? = ($6^{3}$ + $6^{2}$) = 216 + 36 = 252

Hence, missing number (?) = 252.