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anonymous

  • one year ago

Write the sum using summation notation, assuming the suggested pattern continues. -4 + 5 + 14 + 23 + ... + 131

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  1. anonymous
    • one year ago
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    This is my answer. \[\sum_{n=0}^{15} (-4+9n)\]

  2. anonymous
    • one year ago
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    What's the difference between finite and infinite?

  3. anonymous
    • one year ago
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    Like how do I determine if it is infinite or finite?

  4. geerky42
    • one year ago
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    Your answer is correct. And it's finite, because upper limit is not infinity. You have infinite series if you have something like \(\displaystyle\sum_{i=0}^\infty\dfrac1i\) (See the infinity symbol?) Is that's what you are asking?

  5. geerky42
    • one year ago
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    Infinite series is series where you have to add and add and add, perform addition indefinitely.

  6. anonymous
    • one year ago
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    |dw:1436566743299:dw|

  7. geerky42
    • one year ago
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    1, 2, 3... is infinite, because there is no "end." You just keeping counting and counting. 1, 2, 3, ..., 10 is finite, because you just count till you reach 10.

  8. anonymous
    • one year ago
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    One more thing, how would I find the sum of a geometric sequence? What is the easiest way, if there is?

  9. anonymous
    • one year ago
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    Oh okay, I just need to be sure about that. :)

  10. misty1212
    • one year ago
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    not to butt in, but i have seen these questions where even though it makes no sense, the upper limit is supposed to be infinity not saying it is correct, because it is not, but when it says "assuming the pattern continues" sometimes they want "infinity" at the top

  11. anonymous
    • one year ago
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    @misty1212 Yep, that is why it gets so confusing. :(

  12. geerky42
    • one year ago
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    Just link word "infinite" to "infinity" in your memory lol. You can learn more about geometric series here: http://www.mathsisfun.com/algebra/sequences-sums-geometric.html Just scroll down.

  13. geerky42
    • one year ago
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    About "suggested pattern continues."

  14. geerky42
    • one year ago
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    That mean anything in "..." in any sequence, they just want you to know that patterm remain the same in "...". So if you have something like 1, 2, 3, ..., 6, then by "suggested pattern continues." you would know that entire sequence is 1, 2, 3, *4, 5,* 6 (or at least how sequence behaves), and not 1, 2, 3, *1982374, -123, 64,* 6 something get random here, you know?

  15. anonymous
    • one year ago
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    @geerky42 That makes it so much clearer! Thanks! :)

  16. geerky42
    • one year ago
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    Glad I cleared that up for you :)

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