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Lilmike234
 one year ago
The second term in a geometric sequence is 20. The fourth term in the same sequence is 45/4 or 11.25. What is the common ratio in this sequence?
Lilmike234
 one year ago
The second term in a geometric sequence is 20. The fourth term in the same sequence is 45/4 or 11.25. What is the common ratio in this sequence?

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campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1well a term in a geometric sequence is found using \[a_{n} = a \times r^{n 1}\] and you know the 2nd term \[20 = a \times r^{2 1} ~~~or~~~20 = a \times r\] and he 4th term \[\frac{45}{4} = a \times r^3\] which can be written as \[\frac{45}{4} = a \times r \times r^2\] make the substitution for the 2nd term \[\frac{45}{4} = 20 \times r^2\] now you can solve for r

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1and there are 2 possible answerz for r

lilmike234
 one year ago
Best ResponseYou've already chosen the best response.0Which are 1/7 and 3 right ?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1dw:1437106434841:dw so then simplify the fraction dw:1437106495856:dw

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1so take thhe square root of both sides... of the equation and you'll get the 2 answers

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.1well you are halfway correct dw:1437107382618:dw
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