Which number will take place of (?) in the following number series? 16, 23,…
2019
Which number will take place of (?) in the following number series? 16, 23, 31, 40, 50, 61, ?
- A.
73
- B.
77
- C.
83
- D.
81
- E.
75
Attempted by 251 students.
Show answer & explanation
Correct answer: A
Step 1: Observe the differences between consecutive terms: 23 - 16 = 7, 31 - 23 = 8, 40 - 31 = 9, 50 - 40 = 10, 61 - 50 = 11.
Step 2: The differences increase by 1 each time, forming an arithmetic sequence: 7, 8, 9, 10, 11.
Step 3: The next difference should be 12.
Step 4: Add 12 to the last term: 61 + 12 = 73.
हिन्दी उत्तर: चरण 1: लगातार टर्मों के बीच के अंतर को देखें: 23 - 16 = 7, 31 - 23 = 8, 40 - 31 = 9, 50 - 40 = 10, 61 - 50 = 11।
चरण 2: अंतर 1 प्रति बार बढ़ते हैं, जो एक समांतर श्रृंखला बनाते हैं: 7, 8, 9, 10, 11।
चरण 3: अगला अंतर 12 होना चाहिए।
चरण 4: अंतिम टर्म में 12 जोड़ें: 61 + 12 = 73।