Question

A1=9,5; a2=11,5; n=4 Вычеслите d и an арифметической прогрессии если:

Answer 1

Ответ:

d = 2; a4 = 15,5.

Объяснение:

1. d = a2 - a1 = 11,5 - 9,5 = 2;

2. a4 = a1 + 3d = 9,5 + 3•2 = 9,5 + 6 = 15,5.

Answer 2

To calculate the common difference (d) and the nth term (a_n) of an arithmetic progression, we'll use the formulas:

1. nth term of an arithmetic progression (a_n): a_n = a_1 + (n - 1) * d

2. Common difference (d): d = (a_n - a_1) / (n - 1)

Given: a_1 = 9.5 a_2 = 11.5 n = 4

Step 1: Calculate the common difference (d): d = (a_2 - a_1) / (2 - 1) d = (11.5 - 9.5) / 1 d = 2

Step 2: Calculate the nth term (a_n): a_n = a_1 + (n - 1) * d a_n = 9.5 + (4 - 1) * 2 a_n = 9.5 + 3 * 2 a_n = 9.5 + 6 a_n = 15.5

So, the common difference (d) of the arithmetic progression is 2, and the nth term (a_n) is 15.5.