Question:
Find the next number in the series:
12.5, 38, 78.5, 134, 204.5, ?
श्रृंखला में अगली संख्या ज्ञात कीजिए:
12.5, 38, 78.5, 134, 204.5, ?
Options:
- 290
- 291
- 289.5
- 294
- 290
- 291
- 289.5
- 294
Correct Answer: a)
Explanation:
Differences between consecutive terms:
\(38 – 12.5 = 25.5\)
\(78.5 – 38 = 40.5\) (diff +15)
\(134 – 78.5 = 55.5\) (diff +15)
\(204.5 – 134 = 70.5\) (diff +15)
Next difference = \(70.5 + 15 = 85.5\).
Next term = \(204.5 + 85.5 = 290\).
क्रमिक पदों का अंतर:
38 – 12.5 = 25.5
78.5 – 38 = 40.5 (+15)
134 – 78.5 = 55.5 (+15)
204.5 – 134 = 70.5 (+15)
अगला अंतर = 70.5 + 15 = 85.5
अगला पद = 204.5 + 85.5 = 290।