Evaluating the given sequence, it is evident that the next number is twice the number prior to it. Thus, the given is a geometric sequence with first term (a1) equal to 1 and common ratio of 2. The geometric series may be calculated by the equation,
Sn = a1 x (1 - r^n) / (1 - r)
where Sn is the sum of n terms in this case, n = 11.
Substituting the known values,
<span> Sn = 1 x (1 - 2^11) / (1 - 2) = 2047
</span>
Thus, S11 is 2047.
Answer:
A line that represents a proportional relationship passes through the origin, so these data are directly proportional.
Step-by-step explanation:
Answer:
<h2>
</h2>
Step-by-step explanation:
According to the question,
∝
.......(1)
∝
.......(2)
From equation 1,2 let constant of proportionality be 
respectively.
⇒
.......(3)
⇒
.......(4)
From the above equations putting 4 into 3,
Let the new constant to the above equation be 
,
Given,if x=1, when z=4
⇒
Now if x=27, then z=?
⇒
⇒
