It is abouT Pi...

Number Theory Level 2

Think about the series,

$0, 3, 4, x, 9, 14, 23, 25, y, 36, 39, \dots$

Find, $\boxed{x+y}$

Hint: $\pi$

1 solution

Sajjad Sajjad
Mar 21, 2015

$T_1, T_2, T_3, T_4, \dots = 0, 3, 4, x, \dots$

$T_2 - T_1 = 3$

$T_3 - T_2 = 1$

$T_4 - T_3 = 4$

$\dots$

$\pi = 3.141592653 \dots$

Differene of one term and its fellow term will make a series by the numbers of $\pi$

Thus we get, $x = 8$ and $y = 31$

So, $x + y = \boxed{39}$