Answers:
x = -8/5 or x = 8/5
Sum of the first ten terms where all terms are positive = 4092
========================================================
Explanation:
r = common ratio
- first term = 4
- second term = (first term)*(common ratio) = 4r
- third term = (second term)*(common ratio) = (4r)*r = 4r^2
The first three terms are: 4, 4r, 4r^2
We're given that the sequence is: 4, 5x, 16
Therefore, we have these two equations
Solve the second equation for r and you should find that r = -2 or r = 2 are the only possible solutions. If r = -2, then 5x = 4r solves to x = -8/5. If r = 2, then 5x = 4r solves to x = 8/5.
-----------------
To find the sum of the first n terms, we use this geometric series formula
Sn = a*(1 - r^n)/(1 - r)
We have
- a = 4 = first term
- r = 2, since we want all the terms to be positive
- n = 10 = number of terms to sum up
So,
Sn = a*(1 - r^n)/(1 - r)
S10 = 4*(1 - 2^10)/(1 - 2)
S10 = 4*(1 - 1024)/(-1)
S10 = 4*(-1023)/(-1)
S10 = 4092
Answer:
<h2>x + 2y = 8</h2>
Step-by-step explanation:
The standard form of an equation of a line:
We have:
Convert:
<em>multiply both sides by 2</em>
<em>add x to both sides</em>
Answer:36
Step-by-step explanation:
18×2= 36 because if each got halfed, each half would equal one sandwich so there would be 36 sandwiches
Answer:
Rodney sold 45,612 copies of his book and Beth sold 45,612 x one half copies of her book. Which statement compares the numbers of book copies sold? Beth sold half the number of book copies that Rodney sold.
Rodney sold half the number of book copies that Beth sold.
Beth sold twice the number of book copies that Rodney sold.
Rodney sold the same number of book copies that Beth sold.
Step-by-step explanation:
Answer: the answer = work for it
Step-by-step explanation:
