Question

Please identify a pattern in the list of numbers. Then use this pattern to find the next number.2,8,32,128,512_

Answer 1

2048

Explanation:

a_n = 2^(2 n - 1) (for all terms given)

{2, 8, 32, 128, 512, 2048, 8192, 32768, 131072, 524288, 2097152, 8388608, 33554432, 134217728, 536870912, 2147483648, 8589934592, 34359738368, 137438953472, 549755813888, 2199023255552, 8796093022208, 35184372088832, 140737488355328}