Question

Determine the constant different in this numeric pattern:5;9;13;17;21​

Answer 1

Hi student, let me help you out!

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Part 1. Sequence - Arithmetic or Geometric?

• If a sequence is arithmetic, we add or subtract the same amount to get to the following term.
• If a sequence is geometic, we multiply or divide by the same amount.

✨

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Part 2. Common Difference or Ratio?

• In arithmetic sequences, the amount we add or subtract is the common difference.
• In geometric sequences, the amount we multiply or divide by is the common ratio.

Please see Part 1 for explanation of arithmetic/geometric sequences.

✨

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Part 3. How to Find the C.D. or C.R.?

• What do we add/subtract from each term to get the following term? In the given sequence, we add 4.
• What do we multiply/divide by to get the next term?

This given sequence doesn't have a common ratio; it's arithmetic.

A sequence can't be both arithmetic and geometric.

∴, the common difference is ✨4.

Hope this helped you out, ask in comments if any queries arise.

Best Regards!

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