Answer:
Step-by-step explanation:
y=4 times 1/2 to the power of x can be written symbolically as
4 4
y = 4(1/2)^x. This is the same as y = ------- or y = -------- * 2^(-x)
2^x 1
This function is a "decaying exponential."
A suitable table follows:
x 4(2^[-x]) x y
0 4(2^0) (0, 4)
1 4(2^1) (1, 8)
2 4(2^2) (2, 16)
and so on.
Answer:

Step-by-step explanation:
We have a geometric sequence with:
,
, and 
Where
Sn is the sum of the sequence
r is the common ratio
is the first term in the sequence
n is the number of terms in the sequence
The formula to calculate the sum of a finite geometric sequence is:

Then:

Now we solve for 


Answer:
0.625
Step-by-step explanation:
100cm is equivalent to 1m so 500cm is equivalent to 5m. What you need to do is divide 500cm (5metres) by 25cm (one quarter of a metre). So the number sentence using 'division' should look like 500cm divided by 25cm which equals 20. Don't forget to use proper symbols for division though. Let me know if this helps:)