Question

Найдите сумму 27 первых членов арифметической прогрессии​! Дам еще 20 баллов Потом

Answer 1

$1)a1 = - 13 \\ a2 = 2 \\ d = 2 - ( - 13) = 15 \\ a27 = a1 + 26d = - 13 + 26 \times 15 = 377 \\ s27 = \frac{a1 + a27}{2} \times 27 = \frac{ - 13 + 377}{2} \times 27 = 4914$

$2)a1 = 6.2 \\ d = - 2 \\ sn = \frac{2 \times a1 + (n - 1)d}{2} \times n \\ s27= \frac{2 \times 6.2+ 26 \times ( - 2)}{2} \times 27 = \\ = \frac{12.4 - 52}{2} \times 27 = - 534.6$

$3)x\frac{}{n} = 3n - 1 \\ x1 = 3 \times 1 - 1 = 2 \\ x27 = 3 \times 27 - 1 = 80 \\ s27 = \frac{2 + 80}{2} \times 27 = 1107$