Number patterns: interpreting relationships | Pre-Algebra | Khan Academy

TL;DR

The graph shows patterns A and B, where pattern A increases by 3 and pattern B increases by 6. The first statement holds true, but the second statement does not.

Transcript

The following graph represents the first five terms of two given patterns. In the answer box, there are different statements about the two patterns. Choose all correct statements. So here, for each point, this point right over here, this represents its horizontal coordinate is the first term of pattern A, which is 4. And its vertical coordinate is ... Read More

Key Insights

• 😃 Pattern A increases by 3 from one term to the next, while pattern B increases by 6.
• 🍉 Multiplying each term in pattern A by 2 and subtracting 7 gives the corresponding term in pattern B.
• 🍉 The terms of pattern B are not always greater than or equal to their corresponding terms from pattern A.
• 🍉 The second terms of both patterns are equal to 7.

Questions & Answers

Q: How does pattern A change from one term to the next, and how does pattern B change accordingly?

Pattern A increases by 3 from one term to the next, which results in pattern B increasing by 6 from one term to the next.

Q: Is the statement that for every term in pattern A, multiplying by 2 and subtracting 7 gives the corresponding term in pattern B true?

Yes, the statement is true. Multiplying each term in pattern A by 2 and subtracting 7 gives the corresponding term in pattern B.

Q: Are the terms of pattern B always greater than or equal to their corresponding terms from pattern A?

No, this statement is not true for all terms. It holds true for the second, third, fourth, and fifth terms, but not for the first term.

Q: What is the relationship between the second terms of patterns A and B?

The second terms of both patterns are 7, meaning they have the same value.

Summary & Key Takeaways

• The graph represents patterns A and B, with pattern A increasing by 3 and pattern B increasing by 6.

• Each term in pattern A corresponds to a term in pattern B obtained by adding 6 to the horizontal coordinate.

• For every term in pattern A, multiplying by 2 and subtracting 7 gives the corresponding term in pattern B.