Question

In the number pattern 66, 127 ,218,T . The value of T will be:
A. 472 B. 514 C. 555 D. 670

Answer 1

Given series are 66 , 127 , 218 , T
Here you see,
66 = 4³ + 2
127 = 5³ + 2
218 = 6³ + 2
So, T = 7³ + 2 = 343 +2 = 345

Hence, T = 345
But here given options is different . So it means T must be next term after 345
so, Let next term = 8³ + 2 = 512 + 2 = 514
So, T = 514 , hence option (B) is correct

Answer 2

Solution :-

There is a definite pattern in this given number series. Please have a close look at it.

66, 127, 218, T

The sequence is dealing with cubes.

a(n) = n^3 + 2

⇒ a(4) = 4³ + 2

= 64 + 2

= 66

a(5) = 5³ + 2

= 125 + 2

= 127

a(6) = 6³ + 2

= 216 + 2

= 218

a(7) = 7³ + 2

= 343 + 2

= 345

So, the value of T is 345.

There is no option like this but the the value of T is 345.

Answer.