Question

What comes next in the sequence: 5, 13, 29, 61, ? (not 253)

Answer 1

The next in the sequence: 5, 13, 29, 61, will be 5,13,29,61.

5, 5×2+3, 13×2+3; 29×2+3; 61×2+3. 5, 13, 29, 6; 125. Next number of the series is 253.

Solution: 1 * 2 + 3 = 2 + 3 = 5. 5 * 2 + 3 = 10 + 3 = 13. 13 * 2 + 3 = 26 + 3 = 29.

29 * 2 + 3 = 58 + 3 = 61.

61 * 2 + 3 = 122 + 3 = 125.

So, 125 * 2 + 3 = 250 + 3 = 253.

Therefore, 1, 5, 13, 29, 61, 125, 253.