Question

Which one number will complete the following number sequence ?
2, 6, 14, 30, 62, ?, 254

Answer 1

This one is very simple. Look at the 1st difference sequence. 2,6,14,30,62,?,254
4,8,16,32 →→ Look like G.p.
Check the next term of G.P.= 64 and thereafter it is 128.
62 + 64 = 126 and 126 + 128 = 254
Hence we have found the missing term : 126. n alternate way of solving this question is to realize that the sequence may also be formed by multiplying the previous term with 2 and adding 2, i.e.,
2 x 2 + 2 = 6
6 x 2 + 2 = 14 and so on.