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viktelen [127]
3 years ago
5

What is the sum of the sixth terms of the geometric series 2-6+18-54+

Mathematics
1 answer:
lions [1.4K]3 years ago
3 0

Answer: 122

Step-by-step explanation:

Since it is a geometric sequence, lets see the pattern below:

  • -6÷2=-3
  • 18÷-6=-3
  • -54÷18=-3

From this, we can see that we multiply each number by -3 to get the next number.

Before we find the sum, we first find the next number.

-54×-3=162

So the whole sequence will be: 2, -6, 18, -54, 162

Find the sum

 2+(-6)+18+(-54)+162

=2-6+18-54+162

=-4-36+162

=-40+162

=122

Hope this helps!! :)

Please let me know if you have any question

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Hi I need help :( Pls show your working..Will give brainliest for helpful answer​
Basile [38]

Answer:

number 10

dy/dx =(dy/dt).(dt/dx)

now find

dy/dt=4t-1. , dt/dx=1

so : dy/dx=(4t-1).(1)

dy/dx= 4t-1 ,we have x=t-3-----> t=x+3

subtitute at t

dy/dx= 4(x+3)-1=4x+12-1= 4x+11

5 0
3 years ago
The book store is having a sale where all hardcover books are 20% off. Jamie also has a coupon for 15% off any fiction book. Jam
scoray [572]

You can use the fact that both 20% and 15% discounts will be merged to reduce 35% of the price of the book that Jamie buys.

By buying the book on sale and using the coupon, Jamie will save

Option B: $11.55

<h3>
How are discounts calculated for the case when its sale and we've got discount coupons too?</h3>

Suppose the sale gives p% off.

And the discount coupon provides q% off.

Then we have total discount applied on the cost of the object bought as

(p+q)%

<h3>How to find the percentage from the total value?</h3>

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\dfrac{a}{100} \times b

<h3>Using the above fact to calculate the amount that Jamie saved </h3>

Since the sale offers 20% discount and Jamie has got 15% discount coupon for any fiction book, thus, total 35% will be discounted if Jamie buys fiction book.

Since the price of the fiction book that Jamie brought is $32.99, thus,

Saved amount = 35% of $32.99 = \dfrac{32.99}{100} \times 35 = 0.3299 \times 35 \approx \$11.55

Thus,

By buying the book on sale and using the coupon, Jamie will save

Option B: $11.55

<h3 />

Learn more about percentage here:

brainly.com/question/11549320

5 0
2 years ago
Solve the equation. -7 = -1 + x/3
pochemuha

Answer:

x= -18

Step-by-step explanation:

We want to isolate x ( move everything to the other side of the equation)

-7 = -1 + x/3

-6 = x/3

x= 3*-6

x= -18

6 0
3 years ago
Read 2 more answers
1. 12 more than_____
quester [9]

Answer:

11 through 0

Step-by-step explanation:

3 0
3 years ago
What’s the answer 4±√10
valina [46]

Answer:

1

Step-by-step explanation:

1 because it 1 and I know it one I need help 1

3 0
3 years ago
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