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A table of values follows one rule: when n = 1 the value is 7, when n = 2 it is 12, and when n = 3 it is 17. Which rule fits the whole table?

Class 6AlgebraAlgebra
  • A
  • B
  • Cn + 6
  • D

Step-by-Step Solution

The values climb by 5 each step, so the rule contains . At gives 5 and we need 7, so add 2: . Check ✓. Both and give 7 at but fail at , and is off by its constant term because it reuses the first value.
Answer: A)

Key idea: From expressions to equations

Add an equals sign and you have an **equation** — a question. 'For what value of does equal 13?' is written . The **solution** is the value that makes the two sides equal. Here, works, because . For Class 6, the simplest method is **trial-and-improvement** — try whole numbers until you find one that works. Faster algebraic methods come in Class 7.

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