Choose the correct number that completes the given series. 20, 110, 210, 320,…
2023
Choose the correct number that completes the given series.
20, 110, 210, 320, _____, 570, 710
- A.
410
- B.
430
- C.
440
- D.
450
Attempted by 46 students.
Show answer & explanation
Correct answer: C
To find the missing number in the series 20, 110, 210, 320, ___, 570, 710, we must analyze the differences between consecutive terms.
Step-by-Step Analysis
Examine the transitions:
110 - 20 = 90
210 - 110 = 100
320 - 210 = 110
Identify the pattern:
The difference between the numbers is increasing by 10 each time (90, 100, 110).
Following this logic, the next difference must be 120.
Calculate the missing term:
320 + 120 = 440.
Verify the sequence:
440 + 130 = 570 (This matches the next term in the series).
570 + 140 = 710 (This matches the final term in the series).