Question:

Find the next number in the series 125, 80, 45, 20, ....

Show Hint

Try writing each term as 5 times a perfect square.
  • 15
  • 5
  • -10
  • -5
Show Solution
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The Correct Option is B

Solution and Explanation

Step 1: Find the differences between consecutive terms: \( 80-125=-45 \), \( 45-80=-35 \), \( 20-45=-25 \).
Step 2: The differences increase by 10 each time: -45, -35, -25, so the next difference is -15.
Step 3: Next term \( = 20 + (-15) = 5 \). Answer: option 2.
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