Question

Если Геометрическая есть прогрессия b5=-9, b7=-16, хоть, известной, найди b6?

Answer 1

Bn=b1*q^n-1 b7=b5*q^2 -16=-9*q^2 q=4/3 b6=b5*q b6=-9*(4/3)=-12

Answer 2

Finding the Value of b6 in a Geometric Progression

To find the value of b6 in a geometric progression when b5 = -9 and b7 = -16, we can use the formula for the n-th term of a geometric progression:

b_n = b_1 * r^(n-1)

Where: - b_n is the n-th term - b_1 is the first term - r is the common ratio - n is the term number

We can use the given terms b5 and b7 to find the common ratio r and then calculate b6 using the formula.

First, let's find the common ratio r:

r = b7 / b5

Then, we can use the common ratio to find b6:

b6 = b5 * r

Let's calculate the value of b6 using the given values.

Calculating the Value of b6

Using the given values b5 = -9 and b7 = -16, we can calculate the common ratio r and then find the value of b6.

r = b7 / b5 r = -16 / -9 r = 16 / 9 r = 1.7778

Now, we can find b6 using the common ratio:

b6 = b5 * r b6 = -9 * 1.7778 b6 ≈ -16

Conclusion

The value of b6 in the geometric progression is approximately -16.