High School

A number pattern was created by subtracting 800 from the previous term. If the starting value for the pattern was 6,913, which of the following shows the resulting pattern?

A. 6,913, 6,113, 5,313, 3,713...
B. 6,913, 6,113, 5,313, 4,513...
C. 6,913, 6,113, 5,513, 4,513...
D. 6,913, 6,113, 5,513, 3,713...

Answer :

Let's solve the problem step-by-step:

1. Starting Value: The pattern begins with the number 6,913.

2. Pattern Rule: The rule for this pattern is to subtract 800 from the previous term to get the next term.

3. Finding the Terms:
- First, subtract 800 from the starting value, 6,913:
[tex]\[
6,913 - 800 = 6,113
\][/tex]
- Next, subtract 800 from the previous term, 6,113:
[tex]\[
6,113 - 800 = 5,313
\][/tex]
- Finally, subtract 800 from the previous term, 5,313:
[tex]\[
5,313 - 800 = 4,513
\][/tex]

4. Resulting Pattern: Therefore, the number pattern is 6,913, 6,113, 5,313, and 4,513.

Now, let's match this with the given options:

- Option A: 6,913, 6,113, 5,313, 3,713
- Option B: 6,913, 6,113, 5,313, 4,513
- Option C: 6,913, 6,113, 5,513, 4,513
- Option D: 6,913, 6,113, 5,513, 3,713

The correct pattern is: 6,913, 6,113, 5,313, 4,513, which matches Option B.