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sertanlavr [38]
3 years ago
12

Find the first six terms of the sequence. a1 = -7, an = 4 • an-1

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
6 0

Answer:

- 7, - 28, - 112, - 448, - 1792, - 7168

Step-by-step explanation:

Using the recursive formula and a₁ = - 7 , then

a₂ = 4a₁ = 4 (- 7) = - 28

a₃ = 4a₂ = 4(- 28) = - 112

a₄ = 4a₃ = 4(- 112) = - 448

a₅ = 4a₄ = 4(- 448) = - 1792

a₆ = 4a₅ = 4(- 1792) = - 7168

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What is the distance from c to d
vovangra [49]
The answer is 7.



Step by step explanation:
4 0
3 years ago
Each T-shirt sells for $8, and each long-sleeve shirt sells for $11. The swim team collected $310 for the 35 shirts that were so
Nonamiya [84]

Answer:

Number of T shirt sold = 25

Number of long-sleeve shirt sold = 10

Option A is the correct answer.

Step-by-step explanation:

Let the number of T shirt be t and long-sleeve shirt be s.

We have cost of T shirt = 8$ and cost of long-sleeve shirt = 11 $.

Total number of shirts sold = 35

                 t + s = 35    -----------------------Equation 1

Dollar collected = 310 by selling 35 shirts = 310 $

                 8 t + 11 s = 310    -----------------------Equation 2

Equation 1 x 8

                8 t + 8 s = 8 x 35 = 280    -----------------------Equation 3

Equation 2 - Equation 3

            8 t + 11 s - 8 t - 8 s = 310 - 280 = 30

                     3 s = 30

                        s = 10

Substituting in equation 1

                t + 10 = 35

                t = 25

Equations are 8t + 11s = 310 and t + s = 35

Number of T shirt sold = 25

Number of long-sleeve shirt sold = 10

Option A is the correct answer.

4 0
3 years ago
How do you get the answer to 37+10+14=_-23
Sholpan [36]
By solving algebraically. add all the terms on the left to get 61=x-23 then add 23 to both sides to get 84=x and thats the answer x=84
Good Luck!
7 0
3 years ago
Need help finding x when Circle G and Circle U are similar.
svet-max [94.6K]
I think it would be 15

5 0
3 years ago
Please explain how to solve this step by step, I know the answer, but need to explain it. 2n^4-10n^2-72
vovikov84 [41]

Answer:

2(n + 3)(n - 3)(n² + 4)

Step-by-step explanation:

Your polynomial is: P =2n⁴ - 10n² - 72

1. Remove the common factor

2n⁴ - 10n² - 72 = 2(n⁴ - 5n² - 36)

2. Factor the quadratic

P is a quadratic in n².

(a) Find two numbers that multiply to give -36 and add to give -5.

List the positive factors of 36: 1, 2, 3, 4, 6, 9, 18, 36

One of the numbers must be negative. Start with the numbers near the middle of the list.

By trial and error, you will find that -9 and +4 work:

-9 × 4 = 36 and -9 +4 = -5

(b) Rewrite -5n² as -9n² + 4n²

n⁴ - 9n² + 4n² - 36

(c) Factor the first two and the last two terms

n²(n² - 9) + 4(n² - 9)

(d) Separate the common factor

(n² - 9)(n² + 4)

So, P = 2(n² - 9)(n² + 4)

(e) Factor n² - 9

n² - 9 is the difference of two squares.

n² - 9 = (n + 3)(n - 3)

P = 2(n + 3)(n - 3)(n² + 4)

4 0
3 years ago
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