Question

what is a possible value for the missing term of the geometric sequence?
44, , 1584,...

Answer 1

the way you solve a geometric sequence is that you start with a number and you multiply a certain number to get the second number. multiply that with the certain number to get the third number.

Answer 2

so basically if we start a geometric sequence that starts with 1 and we keep multiplying by 3, we get the sequence of 1,3,9,27,81....

Answer 3

this question is different in that you start with a 44 and you are given the third number, not the second number. so obviously, if you multiplied by a certain number to the 44, you would get the second number. you can multiply that by the certain number again to get the third number, which is 1584

Answer 4

given that our starting number is X and we keep multiplying by Y, our sequence would look like this: X, X*Y, X*Y^2

Answer 5

we know that X = 44 and X*Y^2 = 1584. thus if we divide 1584 by 44, we get Y^2 which is 36

Answer 6

we want to know the second number, which is X*Y. Y^2 is 36 so Y = 6 OR -6. that is why the answer would be 264 and/or -264

Answer 7

now I can do it myself thank so much :)

Answer 8

thank you