Answer: 1
Step-by-step explanation:
The formula for calculating the sum of a Geometric series if the common ratio is greater than 1 is given as :
= ![\frac{a(r^{n}-1) }{r-1}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%28r%5E%7Bn%7D-1%29%20%7D%7Br-1%7D)
Where
is the sum of terms , a is the first term , r is the common ratio and n is the number of terms.
From the question:
= 3280
a = ?
r = 3
n = 8
Substituting this into the formula , we have
3280 = ![\frac{a(3^{8}-1) }{3-1}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%283%5E%7B8%7D-1%29%20%7D%7B3-1%7D)
3280 = ![\frac{a(6561-1)}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%286561-1%29%7D%7B2%7D)
Multiply through by 2 , we have
6560 = a ( 6560)
divide through by 6560, we have
6560/6560 = a(6560)/6560
Therefore : a = 1
The first term of the series is thus 1
Answer:
3*4-8=b (D)
Step-by-step explanation:
you multiply 3 by 4 which is the total number of batteries and then you take away 8 which will leave you with the amount of batteries she has left which is represented by b
Sandi did not follow PEMDAS. She added before multiplying and dividing. Her answer should be 18 because 6 • 4 = 24, 2 / 2 = 1, 24 + 1 = 25, 25 - 7 = 18
ANSWER
![\boxed {D}](https://tex.z-dn.net/?f=%20%5Cboxed%20%7BD%7D)
EXPLANATION
The given function is,
![g(x) = ⌈x + 3⌉](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%E2%8C%88x%20%2B%203%E2%8C%89)
The parent function of this ceiling function is
![g(x) = ⌈x ⌉](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%E2%8C%88x%20%E2%8C%89)
When this function is shifted horizontally 3 units to the left, we obtain the transformed function,
![g(x) = ⌈x + 3⌉](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%E2%8C%88x%20%2B%203%E2%8C%89)
The correct answer is option D.
See attachment.
Answer:
9.5
Step-by-step explanation:
It keeps repeating the line goes all the way up then it keeps going to 9 then to 9.5 in the middle of 9 so it means its in between 10 so its 9.5 to 9 then 9.5 it repeats so mostly the answer is 9.5
hope i helped
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