What is the nth term of the harmonic sequence 1/2,1/4,1/6,1/8? Answer: an=1/2n Step-by-step explanation : Its equivalent in arithmetic is 2,4,6,8. a1=2, d=2 an=2+(n-1)2 an=2+2n-2 an=2n since arithmetic is the reciprocal of harmonic, we have an=1/2n
(2x-1)²=(x+1)² quadratic equation in standard form Answer: 3x² - 6x = 0 Step-by-step explanation: In quadratic equation, the standard form is ax² + bx + c = 0 In the given equation (2x-1)²=(x+1)² We have to simplify it first (2x-1)²=(x+1)² (2x - 1)(2x - 1) = (x + 1)(x + 1) 4x² - 4x + 1 = x² + 2x + 1 4x² - x² - 4x - 2x + 1 - 1 = 0 3x² - 6x = 0