turkey-yks 2016 Q18

turkey-yks · Other · ygs Not Maths
Numbers that equal the sum of the squares of two or three consecutive positive integers are called consecutive numbers.
Example: $13 = 2 ^ { 2 } + 3 ^ { 2 }$
$$14 = 1 ^ { 2 } + 2 ^ { 2 } + 3 ^ { 2 }$$
Since 13 and 14 are consecutive numbers. Given this, which of the following is not a consecutive number?
A) 29
B) 35
C) 41
D) 50
E) 61
Numbers that equal the sum of the squares of two or three consecutive positive integers are called consecutive numbers.

Example: $13 = 2 ^ { 2 } + 3 ^ { 2 }$

$$14 = 1 ^ { 2 } + 2 ^ { 2 } + 3 ^ { 2 }$$

Since 13 and 14 are consecutive numbers.\\
Given this, which of the following is not a consecutive number?\\
A) 29\\
B) 35\\
C) 41\\
D) 50\\
E) 61