Question

Помогите пожалуйста;((найдите число членов арифметической прогрессии 5,8...53​

Answer 1

B = 53

A = 5

C = 8-5 = 3

n = (B-A)/C + 1 = (53-5)/3 + 1 = 17

Answer 2

Arithmetic Progression

The given sequence is 5, 8, 11, ..., 53. To find the number of terms in this arithmetic progression, we can use the formula:

nth term = a + (n-1)d

Where: - a = first term - n = number of terms - d = common difference

In this case, the first term (a) is 5, and the common difference (d) is 8 - 5 = 3.

Using the formula, we can find the number of terms:

53 = 5 + (n-1)3

Solving for n: 53 - 5 = 3n - 3 48 = 3n n = 16

So, the number of terms in the arithmetic progression 5, 8, 11, ..., 53 is 16.