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3 years ago

Pleaseeee help!!!! I will mark you as brainlinest for correct answer!!!!!

Mathematics

2 answers:

noname [10]3 years ago

7 0

What you have in there is correct

Taya2010 [7]3 years ago

3 0

(4, 1250)
hope this helps

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30 points!!<br> What is the sum of the first six terms of the series?<br> 48 - 12 + 3 - 0.75 +...

Lunna [17]

Answer:

The sum of the first six terms is 38.39

Step-by-step explanation:

This is a geometric sequence since the common difference between each term is $-\frac{1}{4}$

Thus, $r=-\frac{1}{4}$

To find the sum of first six terms, we need to find the fifth and sixth term of the sequence.

To find the fifth term:

The general form of geometric sequence is $a_{n}=a_{1} \cdot r^{n-1}$

To find the fifth term, substitute $n=5$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{5} &=(48) \cdot\left(-\frac{1}{4}\right)^{5-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{4} \\&=(48)\left(\frac{1}{256}\right) \\a_{5} &=0.1875\end{aligned}$

To find the sixth term, substitute $n=6$ in $a_{n}=a_{1} \cdot r^{n-1}$

$\begin{aligned}a_{6} &=(48) \cdot\left(-\frac{1}{4}\right)^{6-1} \\&=(48) \cdot\left(-\frac{1}{4}\right)^{5} \\&=(48)\left(-\frac{1}{1024}\right) \\a_{5} &=-0.046875\end{aligned}$

To find the sum of the first six terms:

The general formula to find Sn for $|r|$ is $S_{n}=\frac{a\left(1-r^{n}\right)}{1-r}$

$\begin{aligned}S_{6} &=\frac{48\left(1-\left(-\frac{1}{4}\right)^{6}\right)}{1-\left(-\frac{1}{4}\right)} \\&=\frac{48\left(1-\frac{1}{4096}\right)}{1+\frac{1}{4096}} \\&=\frac{48(0.95)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{48(0.9998)}{5} \\&=\frac{47.9904}{5} \\&=38.39\end{aligned}$

Thus, the sum of first six terms is 38.39

5 0

3 years ago

HELPP MEE PLEASEEE I DONT WANNA FAIL SUMMER SCHOOL NO FILES OR LINKS WOULD BE DEEPLY APPRECIATED

Artemon [7]

1.) 3.5% * 500 = 17.5

2.) 70.0% * 50 = 35.0

3.) 25.0% * 440 = 110.0

4.) 10.0% * 46 = 4.6

8 0

3 years ago

The owner of a home cleaning company provides her customers with?

BartSMP [9]

Answer:

Step-by-step explanation:

services

6 0

3 years ago

Would anyone be willing to helppp? I’ll be giving brainliest when I get the chance too

anyanavicka [17]

Step-by-step explanation:

1. add the numbers all together

(of the pets)

= 40 pets total

40 pets =100%

1 pet = 2.5%

percents:

Cat= 10, or 25%

Dog = 15, or 37.5 %

fish=8 or 20%

bird= 7 or 17.5%

angles:

dog= 135

cat= 90

fish= 72

bird= 63

5 0

3 years ago

What is the square root of 83 to the nearest tenth?

Ymorist [56]

Knowing the squareroot of 81 is 9, we can easily know that square root of 83 is close to 9.

9 to the closest tenth is 10.

Hope I helped :)

8 0

4 years ago