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miskamm [114]
2 years ago
11

What is the first term in a geometric sequence if the common ratio is −4 and the sum of the first four terms is −255?

Mathematics
1 answer:
posledela2 years ago
8 0
Sn=A1(1-r^n)/(1-r)
Sum of a finite geometric series formula
We know the sum, number of terms and rate, so you plug those in.
-255=A1(1-(-4)^4))/(1-(-4)
-255=A1(1-256)/5
-255=A1(-255)/5
-1275=A1(-255)
5=A1

Hope this helped! Let me know if you have any questions.
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Please answer this correctly
Katarina [22]

Answer:

SA = 1,176 ft².

Step-by-step explanation:

To find the surface area of the triangular prism, we can solve for the rectangular base, both triangular faces, and lateral sides separately.

For the rectangular base: (Use formula l×w)

20 × 18 = 360 ft²

For the triangular faces: (Use formula 1/2(b·h)

1/2(18 × 12) = 108 ft²

Since there are two faces, we need to double the amount.

108 × 2 = 216 ft².

Finally, solve for the lateral sides:

20 × 15 = 300 ft².

There are two sides, so:

300 × 2 = 600 ft².

Add up all of these areas:

600 + 216 + 360 = 1,176 ft²

5 0
3 years ago
1. How much force (N) is required to accelerate a 2.60 kg remote controlled toy car at a rate of 8 m/s2?
Natali [406]

Answer:

Step-by-step explanation:

8 0
3 years ago
What is (4x+2)^2-3 ??
Veronika [31]
(4x+2)²-3
16x²+4-3
16x²+1

Hope this helps :)
4 0
3 years ago
You pick a card at random.<br><br> 5<br> 6<br> 7<br> 8<br><br><br> What is P(not less than 6)?
Assoli18 [71]

Answer:

3/4

Step-by-step explanation:

There are 4 cards total

The card not less than 6 are 6,7,8 = 3 cards

P( not less than 6) = number of cards not less than 6 / total

                              = 3/4

5 0
2 years ago
Read 2 more answers
A quadratic equation is shown below: 9x2 − 16x + 60 = 0
Oksanka [162]
9x^2 - 16x + 60
Find the discriminant, b^2 - 4ac, which is the same as the value of the radicand.
(-16)^2 - 4 * 9 * 60 = -1904
Since the discriminant is negative, there will be NO real solutions, and 2 complex solutions.

Part B.
4x^2 + 8x - 5 = 0
You can tell if a quadratic is factorable if you find the discriminant and it is a perfect square. The discriminant for this quadratic is 144 so it is factorable.
(2x + 5)(2x - 1) = 0
Set each factor equal to zero.
2x + 5 = 0                                                    2x - 1 = 0
subt 5 from both sides                                add 1 to both sides
2x = -5                                                        2x = 1
divide both sides by 2                                divide both sides by 2
x = -5/2 <span>                                                     </span>  x = 1/2
7 0
2 years ago
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