Question

vă rog ajutați-mă x+2x+3x+...+100x=50500 mulțumesc

Answer 1

$x + 2x + 3x + ... + 100x = 50500$

$x(1 + 2 + 3 + ... + 100) = 50500$

$x \times \frac{100(100 + 1)}{2} = 50500$

$x \times \frac{100 \times 101}{2} = 50500$

$x \times 50 \times 101 = 50500$

$x \times 5050 = 50500$

$x = \frac{50500}{5050}$

$x = 10$