Question

Прогрессия задана формулой xn=2n+3 S50=?

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To find the sum of the first 50 terms of the given arithmetic progression (AP), you can use the formula for the sum of an AP. The formula for the sum of the first n terms of an arithmetic progression is:

Sn = (n/2) * (a + an),

where: Sn = Sum of the first n terms, n = Number of terms (in this case, n = 50), a = First term of the AP, an = nth term of the AP.

In the given AP, the first term (a) is the value when n = 1, and the nth term (an) is the value when n = 50. So we can calculate the sum as follows:

a = x1 = 2(1) + 3 = 2 + 3 = 5, an = x50 = 2(50) + 3 = 100 + 3 = 103.

Now, we can calculate the sum (S50):

S50 = (50/2) * (a + an) = 25 * (5 + 103) = 25 * 108 = 2700.

So, the sum of the first 50 terms of the given arithmetic progression is 2700.