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DrPepperx3
 one year ago
Best ResponseYou've already chosen the best response.1Consider the sequence 2, 6, 18, 54 .... Let n= the term number in the sequence Let A(n)= The value of the nth term of the sequence 4. What is the common ratio in the sequence? 5. Complete each statement a. A(1) = 2 = 2*3 b. A(2) = 6 = 2*3 = 2*3 c. A(3) = 18 = 2*3*3 = 2*3 d. A(4) = 54 = 2*3*3*3 = 2*3

phi
 one year ago
Best ResponseYou've already chosen the best response.3ratio means put one number over another. Here they want the ratio of the next number of the current number. in other words, for 2 6 they want 6 over 2 or 18 over 6 or 54 over 18 notice they all simplify to the same number (the "common ratio") for 5, put in the exponent (power) on 3 to make the statement true I'll do 5 b. A(2)= 2*3^1 notice that 3 to the power of 1 is 3,

DrPepperx3
 one year ago
Best ResponseYou've already chosen the best response.1Im sorry i understand the first part but i dont understand how to figure out the last one >_<

DrPepperx3
 one year ago
Best ResponseYou've already chosen the best response.1How did you get the answer?

phi
 one year ago
Best ResponseYou've already chosen the best response.3do you know about exponents? a*a = a^2 a*a*a= a^3 (it is a shorthand, because it gets tedious to write out a^10 ) count the number of 3's and that is the exponent. there is one nonobvious answer though: a^0 (anything to the 0 power) is 1 that is not obvious, but that is the rule.

DrPepperx3
 one year ago
Best ResponseYou've already chosen the best response.1Ohhhhhhhhh Ok thank you! do you mind helping me with 2 more questions?

phi
 one year ago
Best ResponseYou've already chosen the best response.3what did you get for your answers ?

DrPepperx3
 one year ago
Best ResponseYou've already chosen the best response.1A(1) = 2 = 2*3 b. = 2*3^1 A(3) = 18 = 2*3*3 = 2*3 = 2*3*3^2 A(4) = 54 = 2*3*3*3 = 2*3 = 2*3*3*3^3 ?

phi
 one year ago
Best ResponseYou've already chosen the best response.3almost, you write 3^2 instead of 3*3 so , for example, A(3)= 2*3*3 you change 3*3 to 3^2 and get 2*3^2 (you don't write both 3*3 and 3^2) for a.) A(1)=2 you can't multiply by 3 or 3*3 or 3*3*3, but you can multiply by 1 and 3^0 is 1, so you can say A(1)= 2*3^0 can you fix A(4) ?

DrPepperx3
 one year ago
Best ResponseYou've already chosen the best response.1oh okay i think i get it now 2*3^3

DrPepperx3
 one year ago
Best ResponseYou've already chosen the best response.1ty! i get it now(: do you mind helping me with these 2? 6. What is the relationship between the exponent of the base 3 and the value of n? 7. Complete the statement: A(n) = 2*3

phi
 one year ago
Best ResponseYou've already chosen the best response.36. What is the relationship between the exponent of the base 3 and the value of n? they want you to see a pattern a. A(1) = 2* 3^0 b. A(2) = 2* 3^1 c. A(3) = 2* 3^2 d. A(4) = 2* 3^3 as you go from A(1) to A(2) up to A(4), how does the answer change? do you notice that the exponent seems related to "n= the term number in the sequence " ? In other words, without working you should be able to write down A(5) 's answer just by following the pattern. for 7. Complete the statement: A(n) = 2*3 they want you to fill in the exponent of the 3. It won't be n, but it will be one less than n.
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