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Ede4ka [16]
3 years ago
14

Find the 8th term of the geometric sequence: 1, -2, 4, -8, ...

Mathematics
1 answer:
umka21 [38]3 years ago
8 0
a_1=1;\ a_2=-2\\\\r=a_2:a_1\to r=-2:1=-2\\\\a_n=a_1r^{n-1}\to a_n=1\cdot(-2)^{n-1}=(-2)^{n-1}\\\\a_8=(-2)^{8-1}=(-2)^7=-128\\\\Answer:\boxed{a_8=-128}
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From the top of a cliff, which is 120 meters above the water, tha angle of depression of a boat on the water is 18°. How far is
harina [27]
To find how far the boat is from the bottom of the cliff is you’ll use tan;

Tan18degrees=120/x

x=120/tan18degrees

x=369m
4 0
3 years ago
Order the following numbers from least to greatest.<br> 4.23<br> 9<br> 2<br> V17
Marrrta [24]

Answer:

√17, 4.23, 9/2

have a nice day!

6 0
3 years ago
How do you solve f(x)= 4x(2)-4x-3?
slavikrds [6]
If by 4x(2) you mean 4x to the power 2 or 4x^2...it can be solved in the following way
f(x)=4x^2-4x-3
=4x^2+2x-6x-3
=2x(2x+2)-3(2x+2)
=(2x-3)(2x+2)
Therefore x=3/2 or x=-2/2=(-1)
8 0
3 years ago
1.6 × 10^6 ÷ 4.8 × 10^5. Give your answer as a mixed number​
Tasya [4]

Answer:

(10^11)/3

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so multiply 10^11 and 1/3 together

6 0
3 years ago
I WILL MARK THE BRAINLIEST!!! One math question. please explain as well
8090 [49]
Surface area of a sphere=4pi(r^2)
Volume of a sphere=(4/3)pi(r^3)
You need to find the r value to calculate surface area, so I'll solve for that first.
(4/3)pi(r^3)=2254pi
(4/3)(r^3)=2254
r^3=1690.5
r=(1690.5)^(1/3), around 11.9126m
Substitute this in to find surface area
A=4pi(r^2)=4pi(11.9126)^2
=1783.2818 m^2
5 0
4 years ago
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