We are given
sequence is 2 , 4 , 8 ,16 , 32 , .....
Firstly , we will check whether it is geometric sequence
Checking geometric sequence:
We will find common ratio between successive terms
and then we check whether they are equal
r1=(second term)/(first term)
r2=(third term)/(second term)
r3=(fourth term)/(third term)
r4=(fifth term)/(fourth term)
we can see that all four ratios are same
so, this is geometric sequence
Calculation of general term:
We got
common ratio is
Let's assume
number of terms is n
first term is 2
now, we can use formula
we can plug values
and we get
..................Answer
Answer:
Step-by-step explanation:
If x varies directly as the product of p and m, and inversely with y, the relation can be written ...
x = k(pm)/y . . . . where k is the constant of proportionality
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This can be solved for k:
k = xy/pm
For the given values, the value of k is ...
k = (2)(4)/((0.5)(2)) = 8
Then the relation between the variables can be written ...
(xy)/(pm) = 8
Answer: c
Step-by-step explanation:
Since they are both squared.
Evaluating 5^2 and 2^2 and finding the quotient also works.
The third option, "Evaluate 5^2 and 2^2 ...," and the last option, "Rewrite the expression as (5/2)^2 ...," are the correct choices.
