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

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

Mathematics
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This is my answer. \[\sum_{n=0}^{15} (-4+9n)\]
What's the difference between finite and infinite?
Like how do I determine if it is infinite or finite?

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

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