Question

What is the value of the blank position in the given series?

• A. 26
• B. 28
• C. 29
• D. 34

Hint:

In number series, observe the differences between terms and check if there is a consistent pattern in the differences.

Answer 1

The Correct Option is B

The given series is: \(1, 6, 15, \ldots, 45, 66, 91\). Step 1: Observe the difference between consecutive terms: \[ 6 - 1 = 5, \quad 15 - 6 = 9, \quad 45 - 15 = 30, \quad 66 - 45 = 21, \quad 91 - 66 = 25 \] Step 2: The pattern of the difference is increasing by 4 each time, so the difference between 15 and the missing term should be \(5 + 4 = 9\). Hence, the blank position is: \[ 15 + 9 = 28 \] Thus, the value of the blank position is 28.