anonymous
  • anonymous
Write the sum using summation notation, assuming the suggested pattern continues. -4 + 5 + 14 + 23 + ... + 131
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
This is my answer. \[\sum_{n=0}^{15} (-4+9n)\]
anonymous
  • anonymous
What's the difference between finite and infinite?
anonymous
  • anonymous
Like how do I determine if it is infinite or finite?

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geerky42
  • geerky42
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?
geerky42
  • geerky42
Infinite series is series where you have to add and add and add, perform addition indefinitely.
anonymous
  • anonymous
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geerky42
  • geerky42
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.
anonymous
  • anonymous
One more thing, how would I find the sum of a geometric sequence? What is the easiest way, if there is?
anonymous
  • anonymous
Oh okay, I just need to be sure about that. :)
misty1212
  • misty1212
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
anonymous
  • anonymous
@misty1212 Yep, that is why it gets so confusing. :(
geerky42
  • geerky42
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.
geerky42
  • geerky42
About "suggested pattern continues."
geerky42
  • geerky42
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?
anonymous
  • anonymous
@geerky42 That makes it so much clearer! Thanks! :)
geerky42
  • geerky42
Glad I cleared that up for you :)

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