Question

Directions:What value should come in the place of (?) in the following number series?
29, 19, 38, 67, 106, 155, ?

• A. 208
• B. 210
• C. 214
• D. 220

Answer 1

The Correct Option is C

The given series is: 29, 19, 38, 67, 106, 155, ?. To solve this, we aim to identify the pattern in the differences between consecutive terms.

Step 1: Calculate the differences between consecutive terms:

• 19 - 29 = -10 
• 38 - 19 = 19
• 67 - 38 = 29
• 106 - 67 = 39
• 155 - 106 = 49

Step 2: Notice the pattern in the differences: -10, 19, 29, 39, 49. It appears that apart from the initial -10, the increments are consistent, increasing by 10 each time.

Step 3: Continuing the pattern of increments, the next difference would be 59 (since 49 + 10 = 59).

Step 4: Find the next term in the series by adding the calculated difference to the last known term:

Next term = 155 + 59 = 214

Thus, the value that should come in place of '?' is 214.