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2 years ago

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

Mathematics

1 answer:

serious [3.7K]2 years ago

5 0

Hi student, let me help you out!

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<h3><u>Part 1. Sequence - Arithmetic or Geometric?</u></h3>

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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<h3><u>Part 2. Common Difference or Ratio?</u></h3>

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.

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

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!

$\bigstar\underline{\overline{\underline{\overline{Reach\:Far,\:Aim\:high,\:Dream\:big!}}}}$

<u></u>

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3 years ago

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

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