Question

А1=-2.4 d=-14найдите сумму 17 членов арифметической прогрессии​

Answer 1

ответ:

$- 1944.8$

Answer 2

To find the sum of 17 terms of an arithmetic progression, we need to know the first term (A1) and the common difference (d). You've provided A1 = -2.4 and d = -14, so let's calculate the sum using the arithmetic progression formula:

Sum of n terms of an arithmetic progression (Sn) = (n/2) * [2A1 + (n-1) * d]

Where: n = number of terms (in this case, n = 17) A1 = first term (-2.4 in this case) d = common difference (-14 in this case)

Substitute the values into the formula:

Sn = (17/2) * [2(-2.4) + (17-1) * (-14)]

Sn = (17/2) * [-4.8 + 16 * (-14)]

Sn = (17/2) * [-4.8 - 224]

Sn = (17/2) * [-228.8]

Now, calculate the final result:

Sn ≈ -1946.4

The sum of 17 terms in this arithmetic progression is approximately -1946.4.