series

praxisI

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Aug 11, 2012
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1
The first four terms of a series are given below.
What will the seventh term of this series be?
-5x, -2x - 2, x - 4, 4x - 6 ...
 
Do you have a particular question related to this exercise?

Do you know what type of series this is? Have you considered or tried anything, yet?

The volunteer tutors on these boards like to first see some indication of effort, so as to determine how to begin guidance. Such a demonstration of effort could take the form of requesting clarification on terminology or notation, or designing a specific question about your notes or course materials, or showing some work/experimentation of your own, or explaining what you're thinking or confused about, or soliciting links for on-line resources, or et cetera.

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Cheers :cool:
 
I'm on Internet-call hold, apparently until some Amtrak reservation agent wakes up from their "nap" (17 minutes and counting).

So, I'm stuck at the desk, and I decided to determine whether the series in your exercise is arithmetic or geometric. It's neither.

What they gave you are the first four terms of an arithmetic sequence.

Did you make a typographical error, in your post, or do you not yet understand the difference between a sequence and a series?

Here is a link to a nice lesson, if you need a refresher. Otherwise, please show us your effort. :cool:
 
The first four terms of a series are given below.
What will the seventh term of this series be?
-5x, -2x - 2, x - 4, 4x - 6 ...
Look at \(\displaystyle (-2x-2)-(-5x)=3x-2~\&~(x-4)-(-2x-2)=3x-2\). Thus it is a arithmetic with difference \(\displaystyle 3x-2\).

The terms are \(\displaystyle a_n=(-5x)+(n-1)(3x-2)\) so what is \(\displaystyle a_7~?\)
 
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