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3 years ago

In Exercises 1–6, write the first five terms of the sequence whose th term is given.

Mathematics

1 answer:

Vadim26 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

1. Un = 3^ n

U1 = 3, U2 = 9, U3 = 27, U4 = 81, U5 = 243

2. Un = (-2/5)^n

U1 = -2/5, U2 = 4/25, U3 = 8/125, U4 = 16/625, U5 = 32/3125

3. Un = sin npi/2

U1 = 1, U2 = 0, U3 = -1, U4 = 0, U5 = -1

4. Un = 3n/n+4

U1 = 3/5, U2 = 1, U3 = 9/7, U4 = 3/2, U5 = 5/3

5. Un = (-1)^n+1(2/n)

U1 = 1, U2 = 2, U3 = -1/3, U4 = 3/2, U5 = -3/5

6. Un = 2 + 2/n - 1/n^2

U1 = 3, U2 = 11/4, U3 = 23/9, U4 = 39/16, U5 = 59/25

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What is the answer to the problem above in the picture

lana66690 [7]

Answer: Third option.

Step-by-step explanation:

Some transformations for a function f(x) are shown below:

If $f(x)+k$ , the function is translated "k" units up

If $f(x)-k$ , the function is translated "k" units down.

If $f(x+k)$ , the function is translated "k" units left.

If $f(x-k)$ , the function is translated "k" units right.

In this case you have the following function:

$f(x)=3x+2$

And you know that the function g(x) is obtained by translating the function f(x) 5 units down and 3 units left; therefore, you can conclude that g(x) is:

$g(x)=3(x+3)-3$

Finally, simplifying, you get that this is:

$g(x)=3x+9-3\\\\g(x)=3x+6$

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3 years ago

K = mv / 2 solve for m . HELP PLEASE HURRY!

Aleksandr-060686 [28]

9514 1404 393

Answer:

m = 2k/v

Step-by-step explanation:

Identify the coefficient of m (v/2) and multiply by its inverse (2/v).

(2/v)k = (2/v)m(v/2) . . . . multiply both sides of the equation by 2/v

2k/v = m . . . simplify

m = 2k/v

3 0

2 years ago

I know the answer I got is wrong help.

irinina [24]

Answer:

∠2 = 18°

Step-by-step explanation:

∠WXZ = ∠1 + ∠2 ← substitute ∠1 = 3∠2

∠WXZ = 3∠2 + ∠2, that is

72 = 4∠2 ( divide both sides by 4 )

18 = ∠2, that is

∠2 = 18°

8 0

3 years ago

Explain which variables would be included when using technology to calculate the present value of a lump sum and to calculate th

koban [17]

Answer:

a. Present value of a lump sum =

PV = FV / ( 1 + i )ⁿ

b. Present value of an annuity =

P = PMT x ((1 – (1 / (1 + r)⁻ⁿ )) / r)

Step-by-step explanation:

a. Present Value of a Lump sum =

PV = FV / ( 1 + i )ⁿ

Where variables in the formula are explained as follows

PV = Present Value of the given amount today

FV = Future Value of the given amount

i = Discount rate

n = Number of periods

b. Present value of an annuity is given as:

P = PMT x ((1 – (1 / (1 + r)⁻ⁿ)) / r)

The variables in the equation are explained as the follows:

P = the present value of annuity

PMT = Payment per period or the amount in each annuity payment

r = the interest or discount rate

n = total number of periods or the number of payments left to receive

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3 years ago

What is the answer to this 2x - 5 = 7

SCORPION-xisa [38]

Step-by-step explanation:

2x - 5 = 7

2x = 7 + 5

2x = 12

x = 12 / 2

x = 6

Hope it will help :)

7 0

3 years ago