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:

Step-by-step explanation:

Step-by-step explanation:
<u>Given</u>
- x + 2y = 3 and xy = 2
- show that x³ + 8y³ + 9 = 0
<u>Solution in steps:</u>
- (x + 2y)³ = 3³
- x³ + 3x²(2y) + 3x(2y)² + (2y)³ = 27
- x³ + 6x(xy) + 12y(xy) + 8y³ = 27
- x³ + 8y³ + 6(x + 2y)xy = 27 ⇒ Substitute values
- x³ + 8y³ + 6*3*2 = 27
- x³ + 8y³ + 36 - 27 = 0
- x³ + 8y³ + 9 = 0
Done
(5x+1)(5x-1) tell me if you want to know how to do this problem :)
Answer:
t(99)= -2.89
Step-by-step explanation:
-To places after the decimal point is equivalent to rounding off to the nearest hundredth.
-To round off to the nearest hundredth, we check the thousandths digit:
- If the thousandths digit is less than5, we round down to the previous hundredth.
- If the thousandths digit is greater than 4, we round up to the next hundredth:
Hence,