Determine the constant different in this numeric pattern:5;9;13;17;21
1 answer:
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>
<em>✨</em>
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<h3><u>Part 3. How to Find the C.D. or C.R.?</u></h3>- 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!
<u></u>
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I would compute sqrt(1 + 160pi^2) first to get approximately 39.75093337
Add this to 1 and we have 40.75093337
Then divide over 2pi to get a final approximate result of 6.48571248
So x = 6.48571248 is one approximate solution
In short, I computed only focusing on the plus for now.
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If you were to compute you should get roughly -6.167402596 as your other solution. Each solution can then be plugged into the original equation to check if you get 0 or not. You likely won't land exactly on 0 but you'll get close enough.