Find the missing number in the given series. 480, 576, 691.2, _____, 995.328,…
2023
Find the missing number in the given series.
480, 576, 691.2, _____, 995.328, 1194.3936, 1433.27232
- A.
829.44
- B.
898.56
- C.
746.496
- D.
673.92
Attempted by 3 students.
Show answer & explanation
Correct answer: A
The series 480, 576, 691.2, ___, 995.328, 1194.3936, 1433.27232 follows a geometric progression where each term is derived by multiplying the previous term by a constant factor.
Step-by-Step Analysis
Identify the multiplier:
To find the multiplier, divide any term by the one immediately preceding it:
576 ÷ 480 = 1.2
691.2 ÷ 576 = 1.2
The constant multiplier for this series is 1.2.
Calculate the missing term:
Multiply the third term (691.2) by the multiplier (1.2):
691.2 × 1.2 = 829.44
Verify the pattern:
829.44 × 1.2 = 995.328 (Matches the next term)
995.328 × 1.2 = 1194.3936 (Matches the following term)