Question
In each of the following number series, one term is
missing. Find the missing term. 4, 9, 19, 39, 79, ?Solution
Pattern: each term = (previous term × 2) + 1 4 → 4×2+1 = 9 9 → 9×2+1 = 19 19 → 19×2+1 = 39 39 → 39×2+1 = 79 Next term = 79×2 + 1 = 158 + 1 = 159
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 4x² - 12x + 9 = 0
Equation 2: 2y² + 10y + 12 = 0
I. 2x² - 7x + 3 = 0
II. 8y² - 14y + 5 = 0
I. 6x2 - 47x + 77 =0
II. 6y2 - 35y + 49 = 0
I. x2 + 11x + 30 = 0
II. y2 + 17y + 72 = 0
I. 2y2 + 13y + 15 = 0
II. 2x2 + 11 x + 12 = 0
I. 81x - 117√x + 40 = 0
II. 81y - 225√y + 136 = 0
I. 3p2 - 11p + 10 = 0
II. 42q2 + q -1 = 0
I. 84x² - 167x - 55 = 0
II. 247y² + 210y + 27 = 0
I. y² - 7 y – 18 = 0
II. x² + 10 x + 16 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 21x² - 122x + 160 = 0
Equation 2: 23y² - 159y + ...
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