Multiple choice

Directions: In the following question, a number series is given. In the given series, one number is missing. Find out the missing number. 2420, 2325, 2225, 2115, 1985, ?

  1. 1815

  2. 1920

  3. 1955

  4. 2110

  5. 2340
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A Correct answer
Explanation

The differences between consecutive terms are: 2420-2325=95, 2325-2225=100, 2225-2115=110, 2115-1985=130. The differences of these differences are 5, 10, 20. The next difference should be 40. So, 130+40=170. 1985-170 = 1815.

AI explanation

The pattern follows a sequence of subtracting numbers that are a combination of perfect squares and cubes. The differences between the terms are 95, 100, 110, and 130, which are derived from subtracting multiples of 5. Continuing this pattern, the next difference is 170, so 1985 minus 170 gives the next term. The missing term is 1815.

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