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

  1. A.

    829.44

  2. B.

    898.56

  3. C.

    746.496

  4. 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)

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