Question

A1=11.6 a15=17.2 d-? a4-?СРОЧНО!!!!!!!​

Answer 1

Ответ:

Арифметическая прогрессия.

Answer 2

To find the missing values in the arithmetic sequence, we first need to identify the common difference (d) between consecutive terms. The common difference is the constant value that gets added (or subtracted) to each term to obtain the next term in the sequence.

Given two terms of the sequence: A1 = 11.6 (first term) A15 = 17.2 (fifteenth term)

We can use the formula for the nth term of an arithmetic sequence to find the common difference (d):

An = A1 + (n - 1) * d

where An is the nth term, A1 is the first term, n is the term number, and d is the common difference.

Now, let's find the common difference (d):

A15 = A1 + (15 - 1) * d 17.2 = 11.6 + 14d 14d = 17.2 - 11.6 14d = 5.6 d = 5.6 / 14 d = 0.4

So, the common difference (d) is 0.4.

Now, to find the missing values:

a4 = A1 + (4 - 1) * d a4 = 11.6 + 3 * 0.4 a4 = 11.6 + 1.2 a4 = 12.8

Thus, the fourth term (a4) in the arithmetic sequence is 12.8.

Now, to find the missing value after a15, we can use the common difference to find the sixteenth term (a16):

a16 = A15 + (16 - 15) * d a16 = 17.2 + 0.4 a16 = 17.6

So, the missing term after a15 is 17.6.

In summary:

• The fourth term (a4) is 12.8.
• The term after a15 is 17.6.