Question

Найдите номер n члена геометрической прогрессии ( bn ) если bn = 10 b1 = 640 q = 1 / 2

Answer 1

Пишите, если что не так

Answer 2

Understanding the problem

The problem states that we have a geometric progression with the first term b1 = 640 and the common ratio q = 1/2. We need to find the value of the nth term bn.

Solution

In a geometric progression, each term is obtained by multiplying the previous term by a constant called the common ratio.

The formula to find the nth term (bn) of a geometric progression is given by:

bn = b1 * q^(n-1)

where bn is the nth term, b1 is the first term, q is the common ratio, and n is the position of the term in the progression.

Let's substitute the given values into the formula to find the value of bn:

bn = 640 * (1/2)^(n-1)

We are given that b1 = 640, so let's substitute this value as well:

bn = 10 * b1 * (1/2)^(n-1)

Now, we have the formula to find the nth term of the geometric progression. To find the value of bn, we need to know the value of n.

If you have a specific value of n in mind, please provide it, and I will calculate the corresponding value of bn.