Question

Complete the series: 3, 10, 24, 45, 73, ......

• A. 69
• B. 91
• C. 108
• D. 121

Hint:

Look for patterns in the differences between consecutive terms in a series to predict the next number.

Answer 1

The Correct Option is C

Let's look at the difference between the consecutive terms:
- \( 10 - 3 = 7 \)
- \( 24 - 10 = 14 \)
- \( 45 - 24 = 21 \)
- \( 73 - 45 = 28 \)
We observe that the difference is increasing by 7 each time (7, 14, 21, 28, ...). Therefore, the next difference should be \( 28 + 7 = 35 \).
Now, adding 35 to the last term, 73:
\[ 73 + 35 = 108 \]
Thus, the correct next term in the series is \( \boxed{108} \).