The following questions follows a definite pattern. Observe the same and fill in the blank with suitable answer.
13, 28, 49, 76, ......., 148
13, 29, 61, 125, 253, ............, 1021
6, 15, 35, 77, 143, ...........
1, 5, 14, 30, 55, ........
105, 115, 130, 150, 175, .........
8, 24, 12, 36, 18, 54, ............
64, 512, 4096, ........., 262144
101, 103, 107, 109, ..........., 127, 131, 137
1, 9, 36, 100, ......., 441, 784
$$(0, 0, 1), \left(\frac{\pi}{6}, \frac{1}{2}, \frac{\sqrt{3}}{2}\right)\left(\frac{\pi}{3}, \frac{\sqrt{3}}{2}, \frac{1}{2}\right)\left(\frac{\pi}{2}, 1, 0\right), .............$$