How many terms are in the geometric sequence?
3, 3 \sqrt 2, 6, \dots, 96, 96 \sqrt 2, 192, 192 \sqrt 2, \dots, 3072
To find the terms of a geometric sequence you have to find the geometric formula which in this case is:
a = 3√2^n-1
Then you can start guessing and checking for "n" till you get 3072
or..
You can substitute "a" 3072 and then solve
I solved the answer by using the second method of substituting and got the answer 21
I hope this helped!!!