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anonymous
 2 years ago
what are the explicit equation and domain for a geometric sequence with a first term of 5 and a second term of 10
anonymous
 2 years ago
what are the explicit equation and domain for a geometric sequence with a first term of 5 and a second term of 10

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anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0@SolomonZelman @jim_thompson5910

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.25r = 10 r = ???

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2First Term: a = 5 Common Ratio: r = 2 Plug those into \[\Large a_{n} = a*(r)^{n1}\] to get the general nth term formula

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.05n = 5 x (2) n1 5n = 10 n1 What do i do from here

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.3no a_n symbolizes the n term of the sequence a_n and a are different values also we don't have (ar)^(n1) we just have that the r is to the (n1)

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0Ok, so how do i set up this equation

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.3\[a_n=a \cdot r^{n1}\] just replace the a with 5 and replace the r with 2 like jim said

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.3again a_n and a are different values a_n is a variable by itself you can't multiply a and r because r has an exponent

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.3you cannot replace a_n with 5_n this makes no sense let me show you how this formula is come up with so maybe you understand better {a_n} is a sequence of numbers those numbers are a_1=5 a_2=5(2)=10 a_3=5(2)(2)=5(2)^2=20 a_4=5(2)(2)(2)=5(2)^3=40 a_5=5(2)(2)(2)(2)=5(2)^4=80 ... therefore a_n=5(2)(2)(2)(2)(2)(2)...(2)= (by the way that is a (n1) amount of (2)) I put a (n1) amount of (2) because looking at a_1 we have (2)^0=(2)^(11) looking at a_2 we have (2)^1=(2)^(21) looking at a_3 we have (2)^2=(2)^(31) it is always one less than where the number is in the sequence

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0So how do i set up the equation ? im confused

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0Does the 5 not go where the n is

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.25 goes where 'a' is but \(\Large a_n\) is NOT the same as just 'a'

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2If it confuses you, think of it as \[\Large T = a*(r)^{n1}\] T = nth term a = first term r = common ratio n = positive whole number (used to identify which term you're dealing with) example: n = 3 > 3rd term

jim_thompson5910
 2 years ago
Best ResponseYou've already chosen the best response.2The notation \(\Large a_n\) is used for sequences because the 'n' changes to a positive whole number to indicate a certain term example: 17th term > n = 17 > \(\Large a_n = a_{17}\)

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0Ok, so you leave the an as it is

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.3Yep it is a formula for the nth term in the sequence

anonymous
 2 years ago
Best ResponseYou've already chosen the best response.0So it is an = 5 (15)^n1; all integers where n less than or equal to 1

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.3how do you get 15 for r?

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.3r symbolizes the geometric ratio to find r all you have to do is evaluate a_2/a_1 or take any two consecutive numbers in the sequence and put the 2 nd term of those numbers over the 1st term of those numbers

myininaya
 2 years ago
Best ResponseYou've already chosen the best response.3also this was already determined way above when joe was working with you

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the answer is A!!!!!!!!!!!!!!!!!
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