Question

Find the wrong term in the series:

3,14,39,82,155,258,399

A) 399
B) 258
C) 82
D) 14​

Answer 1

Answer:

82

Step-by-step explanation:

1^3+1^2+1 =3

2^3+2^2+2 =14

3^3+3^2+3 = 39

4^3+4^2+4 = 82

5^3+5^2+5 = 155

Answer 2

The required "option is C) 82".

Step-by-step explanation:

The give sequence are:

3, 14, 39, 82, 155, 258, 399

To find, the wrong term =

The pattern follow:

$n^{3} +n^{2}+n$

$3=1^{3}+1^{2}+1=1+1+1=3$

$14=2^{3}+2^{2}+2=8+4+2=14$

$39=3^{3}+3^{2}+3=27+9+3=39$

$82=4^{3}+4^{2}+4=64+16+4=84\neq 82$, it is wrong number

$155=5^{3}+5^{2}+5=125+25+5=155$

$258=6^{3}+6^{2}+6=216+36+6=258$

$399=7^{3}+7^{2}+7=343+49+7=399$

∴ The wrong number = 82

Hence, the required option is C) 82.