Question

A3=5 d=4знайти A5=?​

Answer 1

Дано

(аn)-А.п

а3=5

d=4

Найти : а5-?

Решение:

аn=an-1+d

a4=a3+d=5+4=9

a5=9+4=13

Answer 2

To find the value of A5, we can use the arithmetic progression formula:

An = A1 + (n - 1) * d

where: An is the nth term in the arithmetic progression, A1 is the first term in the arithmetic progression, n is the position of the term we want to find (in this case, n = 5), and d is the common difference between consecutive terms.

Given: A3 = 5 (the third term in the arithmetic progression) d = 4 (the common difference)

Let's calculate A1 (the first term) using the formula for A3:

A3 = A1 + (3 - 1) * d 5 = A1 + 2 * 4 5 = A1 + 8

Now, let's solve for A1:

A1 = 5 - 8 A1 = -3

Now that we know the first term (A1) and the common difference (d), we can find A5:

A5 = A1 + (5 - 1) * d A5 = -3 + 4 * 4 A5 = -3 + 16 A5 = 13

So, A5 is equal to 13.