The general form of the geometric sequence is
, where a sub n is the number term you're looking for (we're looking for the tenth term). a sub 1 is the first term in the sequence (ours is -6), r is the common ratio, and n-1 is the numbered term you're looking for minus 1. Our formula then looks like this:
. Simplify it to
. Take 2 to the 9th power then multiply it by -6 to get -3072. C is your answer.
Answer:
x = 3/4
Step-by-step explanation:
It usually works well to collect terms first. (Add the coefficients of x.)
-4x +x = -9/4
(-4+1)x = -9/4
-3x = -9/4 . . . . . . equation with terms collected
Now, you can divide by the coefficient of x. Here, it can be useful to consider this to be the same as multiplying by the inverse of that coefficient, which inverse is -1/3.
(-1/3)(-3x) = (-1/3)(-9/4) . . . . . multiply both sides by -1/3
x = 3/4 . . . . . simplify
Correct answer is 450 <span>cubic meters</span>.
