Question

In the following question, a number series is given with one term missing. Choose the correct alternative that will continue the same pattern and replace the question mark (?) in the given series.
2, 15, 41, 80, ___}

• A. 111
• B. 120
• C. 121
• D. 132

Hint:

If differences form a pattern, check if they are increasing linearly (like +13 each time).

Answer 1

The Correct Option is D

Concept: Check the differences between consecutive terms. Step 1:Find differences: \[ 15 - 2 = 13 \] \[ 41 - 15 = 26 \] \[ 80 - 41 = 39 \]
Step 2:Observe the pattern: \[ 13, 26, 39 \Rightarrow \text{increasing by } 13 \]
Step 3:Next difference: \[ 39 + 13 = 52 \]
Step 4:Find next term: \[ 80 + 52 = 132 \]
Step 5:Final Answer: \[ \text{132} \]