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anonymous
 one year ago
Help with arithmetic/geometric sequences and series problem please
anonymous
 one year ago
Help with arithmetic/geometric sequences and series problem please

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The problem is in the attached file

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what does is mean by describe the four quantities? Don't the quantitates mean the same thing in all four formulas?

freckles
 one year ago
Best ResponseYou've already chosen the best response.0the quantities are the the variables like a_1,n,d,a_n in the problem a and a_1,n,r,a_n in problem c

freckles
 one year ago
Best ResponseYou've already chosen the best response.0do you know what a_1 means?

freckles
 one year ago
Best ResponseYou've already chosen the best response.0the subscript there basically tells you

freckles
 one year ago
Best ResponseYou've already chosen the best response.0for example a_6 is the 6th term in the sequence

freckles
 one year ago
Best ResponseYou've already chosen the best response.0which choice a or c represents an arithmetic sequence ? and of those choices one if a geometric sequence. an example of an arithmetic sequence is 3,7,11,15,... notice each term minus it's previous is the same number this number is the common difference an example of a geometric sequence is 2,4,8,16,... notice each term divided by its previous is the same number this number is the common ratio what do you think the d represents ? what do you think the r represents?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0d represents the difference and r represents the common ratio @freckles

freckles
 one year ago
Best ResponseYou've already chosen the best response.0great d represents the common difference of an arithmetic sequence and r represents the common ratio of a geometric sequence

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm confused though because in the problem it says to describe the four quantities for each formula, but would the quantities be the same in each formula

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0for example wouldn't a_1 mean the first term in the sequence no matter what formula it is?

freckles
 one year ago
Best ResponseYou've already chosen the best response.0yes a_1 can mean the first term in the sequence

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok, so how do I answer the second part of the question? @freckles

freckles
 one year ago
Best ResponseYou've already chosen the best response.0I don't know which 3 to use for example in a do they want us to use a_1, n, and d to find a_n or do they want us to use a_1,a_n,n to find d or do they want us to use a_n,n,d to find a_1 or do they want us to use a_1,a_n,d to find n or do they want us to do each possibility of what they could mean

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm not sure about that either, I'm assuming they want us todo each possibility. Could you just show me how to do it for 1 of the formulas and I can figure it out for the other ones? @freckles

freckles
 one year ago
Best ResponseYou've already chosen the best response.0\[a_n=a_1+d(n1) \\ \text{ if we have } a_1,d, \text{ and } n \text{ just follow the order of operations \to find } a_n \\ \\ a_n=a_1+d(n1) \\ \\ \text{ if we have } a_n,a_1,n \text{ then we can find } d \text{ by doing } \\ a_na_1=d(n1) \text{ subtract } a_1 \text{ on both sides } \\ \frac{a_na_1}{n1}=d \text{ divided both sides by} (n1) \\ \] then you can do something similar for the other two possibilties just solve the equation for n also solve the equation for a_1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so it's pretty simple
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