Question

complete the following set 2,6,14,30,62,?,254

Answer 1

Answer:

126

Step-by-step explanation:

2 + 4 = 6. 2+2=4

6 + 8 = 14. 4+4=8

14 + 16 = 30. 8+8=16

30 + 32 = 62. 16+16=32

62 + 64 = 126. 32+32=64

126 + 128 = 254 64+64=128

Answer 2

Answer:

The missing term in the series is 126.

Step-by-step explanation:

• The given set is 2, 6, 14, 30, 62, .... , 254.
• Let, the missing term be x . The series becomes 2, 6, 14, 30, 62, x, 254.
• Careful examination shows that the two successive terms of series forms a pattern; i.e. (second term - first term), (third term - second term), and so on.

$6 - 2 = 4 = 4 \times 1 \\ 14 - 6 = 8 = 4 \times 2 \\ 30 - 14 = 16 = 4 \times 4 \\ 62 - 30 = 32 = 4 \times 8$

• From the above pattern, we can say that difference of next two terms must equal to (4 x 16) = 64.

$x - 62 = 64 \\ or \: \: x = 64 + 62 \\ x = 126$

• Hence, the missing term in series is 126 .