Question

Дана арифм прогрессия (An):14;-1;-16... найдите A12

Answer 1

Шаг прогрессии = 14-(-1)=15. А12=14-15*11=14-165=-151

Answer 2

Просто от -16 отнимай 15

Answer 3

Finding the 12th Term of an Arithmetic Progression

To find the 12th term (A12) of the given arithmetic progression (An): 14, -1, -16..., we can use the formula for the nth term of an arithmetic progression:

An = a1 + (n - 1)d

Where: - An is the nth term - a1 is the first term - n is the term number - d is the common difference

In this case, the first term (a1) is 14, and the common difference (d) can be calculated as the difference between any two consecutive terms. Let's calculate the common difference and then find the 12th term.

Calculating the Common Difference

The common difference (d) can be calculated as the difference between any two consecutive terms: d = a2 - a1

Using the given terms: a1 = 14 a2 = -1

d = -1 - 14 = -15

Finding the 12th Term (A12)

Now that we have the common difference, we can use the formula to find the 12th term: A12 = a1 + (12 - 1)d

Substitute the values: A12 = 14 + 11*(-15) A12 = 14 - 165 A12 = -151

Therefore, the 12th term (A12) of the given arithmetic progression is -151.