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uranmaximum [27]
2 years ago
13

The first three terms of a geometric sequence are

Mathematics
1 answer:
Lisa [10]2 years ago
3 0

Answer:

a4 = 128

a5 = -512

Step-by-step explanation:

a1= -2

q= (-1)^(n+1) × 4

a4 = a1q³ = (-2) (-4)³ = -2 × -64 = +128

a5 = a1q⁴ = (-2) (-4)⁴ = -2 × 256 = -512

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Y=x+1<br> y=x^2-1<br><br> please help i don't understand
ololo11 [35]

ANSWER

The solution is

(x=1,y=2),(x=2,y=3)


<u>EXPLANATION</u>

We have

y=x+1---(1)

and


y=x^2-1---(2)


Let us substitute equation (1) in to equation (2). This gives us,

x+1=x^2-1(2)

We rewrite this as a quadratic equation as the highest degree is 2.

x^2-x-1-1=0

This implies that


x^2-x-2=0


we factor to obtain,


x^2+x-2x-2=0


x(x-1)-2(x-1)=0


(x-1)(x-2)=0


This means,

(x-1)=0\:\: or\:\:(x-2)=0

x=1\:\: or\:\:x=2


We substitute this values into any of the above equations, preferably equation (1)


When, x=1, y=1+1=2


When, x=2, y=2+1=3


The solution is

(1,2),(2,3)


8 0
3 years ago
Jordan invests £700 into his bank account.
bearhunter [10]

Answer:

Jordan will have $ 910.00 after 3 years

Step-by-step explanation

6 0
2 years ago
HELP PLZZZZZZZZZZZZZZZZZZZZ
Sidana [21]
The answer is 78.46 hope this helps
3 0
2 years ago
Read 2 more answers
One angle of an isosceles triangle measures 72°. Which other angles could be in that isosceles triangle? Choose all that apply.
Sergeeva-Olga [200]

Answer:

72 and 36

Step-by-step explanation:

Since it is an isosceles triangle we know that one of the angles will be 72 degrees as well. I added both of the 72s and got 144. A triangle has 180 degrees. Subtract 144 from 180 and you get 36.

8 0
3 years ago
Read 2 more answers
Jane plans to invest $500 at 8.25% interest, compounded continuously. After 14 years, how much money has she accumulated? Has he
kenny6666 [7]
Principal amount = P = $500
Time = t = 14 years
Interest rate = r = 8.25% = 0.0825
Amount accumulated = A

Using the formula of compound interest:

A=P e^{rt}

Substituting the values, we get:

A=500 e^{0.0825(14)}=1587.01&#10;

Thus the amount accumulated after 14 years will be $1587.01. Compared to the original amount of $500, this amount is tripled. 
8 0
3 years ago
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