The 6th term of the geometric sequence 5, 10, 20, 40, ... is 80.

Here's how you can find it:

1. Identify the common ratio (r) of the geometric sequence. In this case, each term is twice the previous term, so r = 2.

2. Use the formula for the nth term of a geometric sequence, which is a * r^(n-1), where a is the first term and n is the term number.

3. Substitute the known values into the formula. In this case, a = 5, r = 2, and n = 6. So the 6th term is 5 * 2^(6-1) = 5 * 2^5 = 5 * 32 = 160.

So, the 6th term of the sequence is 160.

Question

The 6th term of the geometric sequence 5, 10, 20, 40, ... is 80.

Here's how you can find it:

1. Identify the common ratio (r) of the geometric sequence. In this case, each term is twice the previous term, so r = 2.

2. Use the formula for the nth term of a geometric sequence, which is a * r^(n-1), where a is the first term and n is the term number.

3. Substitute the known values into the formula. In this case, a = 5, r = 2, and n = 6. So the 6th term is 5 * 2^(6-1) = 5 * 2^5 = 5 * 32 = 160.

So, the 6th term of the sequence is 160.

Knowee AI · Accepted Answer

The 6th term of the geometric sequence 5, 10, 20, 40, ... is 80.

Here's how you can find it:

1. Identify the common ratio (r) of the geometric sequence. In this case, each term is twice the previous term, so r = 2.

2. Use the formula for the nth term of a geometric sequence, which is a * r^(n-1), where a is the first term and n is the term number.

3. Substitute the known values into the formula. In this case, a = 5, r = 2, and n = 6. So the 6th term is 5 * 2^(6-1) = 5 * 2^5 = 5 * 32 = 160.

So, the 6th term of the sequence is 160.

In the geometric sequence 5, 10, 20, 40, ..., what is the 6th term?*64080320160