The next term is double the previous term, so that the 
-th term is given recursively by
This rule tells us that
and so on, with the explicit rule
for 
.
If 512 is the 
-th term in the sequence, then
Answer:
we need more info to answer this question
Answer:
The most straightforward way to obtain the expression for cos(2x) is by using the "cosine of the sum" formula: cos(x + y) = cosx*cosy - sinx*siny. cos(2x) = cos² (x) - (1 - cos²(x)) = 2cos²(x) - 1. = 2cos²(x) - 1.
Step-by-step explanation:
Answer:
1 / 5040
Step-by-step explanation:
The number of ways that 7 basketball players can be arranged is 7! = 5040. Only one of these arrangements is alphabetical. So the probability is 1/5040.
Answer:
y = 8/3
Step-by-step explanation:
x = -2
y = 2/(3*-2) + 3
y = 2/-6 + 3
y = -1/3 + 3
y = -1/3 + 9/3
y = 8/3
