the first number of a sequence is 200. every number of the sequence after the first is 100 less than twice the preceding number. what is the 5th number of the sequence

I'll get you started.

200, 300, 500

Take it from there.

how is it 200, 300 when it says it is 100 less than twice the preceding number... isnt it 200-100=100x2==200 again? im confused

100 less than _twice_ the preceeding number.

(200)*2 -100 = 300
(300)*2 -100 = 500
(500)*2 -100 = ... et cetera

To find the 5th number of the sequence, we need to determine the pattern and apply it to each subsequent number.

Given that the first number is 200, let's work through the steps:

1st number: 200

To find the 2nd number:
- Twice the preceding number (200) is 400.
- Subtracting 100, we get 300.

2nd number: 300

To find the 3rd number:
- Twice the preceding number (300) is 600.
- Subtracting 100, we get 500.

3rd number: 500

To find the 4th number:
- Twice the preceding number (500) is 1000.
- Subtracting 100, we get 900.

4th number: 900

To find the 5th number:
- Twice the preceding number (900) is 1800.
- Subtracting 100, we get 1700.

Therefore, the 5th number of the sequence is 1700.