Question

Complete the series 95, 115.5, 138, ........, 189:

• A. 160.5
• B. 162.5
• C. 164.5
• D. 166.5

Hint:

Identify the pattern by checking the differences or ratios between consecutive terms.

Answer 1

The Correct Option is B

Step 1: Identify the pattern
- The differences in the series are: \(115.5 - 95 = 20.5\), \(138 - 115.5 = 22.5\).
- The increments are increasing by 2.
- Next difference = \(22.5 + 2 = 24.5\).
- Next term = \(138 + 24.5 = 162.5\).
- Next difference = \(24.5 + 2 = 26.5\).
- Next term = \(162.5 + 26.5 = 189\).
Step 2: Verify the missing number
- The missing term is \(162.5\), which is present in the options.
- Therefore, the correct answer is \(162.5\).