Question

Выписано несколько членов арифметической прогрессии -6;2;10;..... Какое число стоит в этой прогрессии на 21-м месте ?

Answer 1

Решение смотри на фотографии

Answer 2

Arithmetic Progression and Finding the 21st Term

An arithmetic progression is a sequence of numbers in which the difference of any two successive members is a constant. In this case, the given arithmetic progression is -6, 2, 10, ...

To find the 21st term of this arithmetic progression, we can use the formula for the nth term of an arithmetic progression:

nth term (Tn) = a + (n-1)d

Where: - Tn is the nth term - a is the first term - n is the term number - d is the common difference between terms

Calculation

Given: - First term (a) = -6 - Common difference (d) = 2 - (-6) = 8 - Term number (n) = 21

Using the formula: T21 = -6 + (21-1) * 8

T21 = -6 + 20 * 8

T21 = -6 + 160

T21 = 154

Therefore, the number that stands in the 21st place in this arithmetic progression is 154.