Question

I REALLY NEED HELP

Look at the following rules for two number patterns. Both patterns start with 40.

Pattern P: "Subtract 2"
Pattern Q: "Subtract 8"

Which statement is true about the corresponding terms in the two patterns?
Starting with 0, the difference between the corresponding terms in the two patterns decreases by 4.
Starting with 0, the difference between the corresponding terms in the two patterns increases by 6.
Excluding the first term, a term in Pattern P is always 6 greater than its corresponding term in Pattern Q.
Excluding the first term, a term in Pattern Q is always 8 greater than its corresponding term in Pattern P.

Answer 1

• Option C

Explanation:

Pattern P, the nth term formula:

• Pₙ = 40 - 2n

Pattern Q, the nth term formula:

• Qₙ = 40 - 8n

The difference is:

• Pₙ - Qₙ = 40 - 2n - 40 + 8n ⇒
• Pₙ - Qₙ = 6n

It shows the difference increase by 6 as the number of terms increase.

According the the difference of nth terms, the correct statement is:

• Excluding the first term, a term in Pattern P is always 6 greater than its corresponding term in Pattern Q.