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:
25
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF),
25
Answer:
1 +3i
Step-by-step explanation:
(4 - 2i) - (3 - 5i)
Subtract the reals
4 - 3 =1
Subtract the imaginary
-2i - -5i
-2i + 5i = 3i
1 +3i
Answer:
B) y = 9 x has Proportionality Constant = 9
Step-by-step explanation:
Two quantities P and Q are said to be PROPORTIONAL if and only if:
P ∝ Q ⇔ P = k Q ⇔ 
Here, k = PROPORTIONALITY CONSTANT
Given : k = 9
Now, let us consider the given expressions in which x ∝y
y = 81/3 x
Here, 
So, here Proportionality Constant ≠ 9
y = 9 x
Here, 
So, here Proportionality Constant = 9
y = 3 x
Here, 
So, here Proportionality Constant ≠ 9
y = 1/9 x
Here, 
So, here Proportionality Constant ≠ 9
Hence, only y = 9 x has Proportionality Constant = 9