Find the missing number in the series: 2, 6, | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The given series is $2, 6, 14, 30, ?, 126, 254$.Observe the differences between consecutive terms:$6 - 2 = 4$$14 - 6 = 8$$30 - 14 = 16$The differe

Vedclass · Accepted Answer

$62$

Vedclass · Answer

(C) The given series is $2, 6, 14, 30, ?, 126, 254$.Observe the differences between consecutive terms:$6 - 2 = 4$$14 - 6 = 8$$30 - 14 = 16$The differences are in the form of powers of $2$,i.e.,$2^2, 2^3, 2^4, \dots$Following this pattern,the next difference should be $2^5 = 32$.So,the missing number is $30 + 32 = 62$.To verify,the next difference should be $2^6 = 64$,and $62 + 64 = 126$,which matches the series.Thus,the missing number is $62$.

Find the missing number in the series: $2, 6, 14, 30, ?, 126, 254$.

Similar Questions

$3, 4, 9, 28, 113, ?$

$5, 54, 90, 115, 131, 140, ?$

Find the missing number in the series: $4, 10, 40, 190, 940, ?, 23440$

Find the odd one out from the following sequence:
$10, 25, 49, 81, 121$

What will come in place of the question mark $(?)$ in the following number series?
$100, 99, 97, 94, 90, ?$

Vedclass Test Series

Exam Paper Generator

Online Exam Module