Multiple choice

Read the following Series and give the answers based on it : Series I: 2, 1.5, 3.5, 9.75, a Series II: 3, b, 16, 75, 364 Series III: c, 30, 136, 417, 838 If ‘b’ and ‘c’ are the roots of a quadratic equation, then find the quadratic equation by using variable ‘x’

  1. $\(x^2 - 4x + 4 = 0\)$
  2. $\(x^2 - 5x + 4 = 0\)$
  3. $\(x^2 + 5x + 1 = 0\)$
  4. $\(x^2 + 4x + 4 = 0\)$
  5. $None of these$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Analyzing the number series patterns: Series II shows b=4, Series III shows c=1. These are the roots of x²-5x+4=0, which factors to (x-1)(x-4)=0.

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