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2 years ago

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PLS HELP A friend says that the recursive formula for the geometric sequence $1,-1,1,-1,1,is an+1x(-1)^n-1. Explain your friend'

s error and give the correct recursive formula for the sequence.

1 answer:

Leno4ka [110]2 years ago

3 0

Answer:

For a geometric sequence with recurrence of the form a(n)=ra(n-1) where r is constant, each term is r times the previous term. This implies that to get from the first term to the nth term, we need to multiply by n-1 factors of r.

Step-by-step explanation:

hii

you are looking so h*t and s**y..

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Sam has 30 coins, all nickels and dimes. Together they are worth $2.40 how many nickels and dimes does he have

Aliun [14]

Answer:

20 dimes and 8 nickels

Step-by-step explanation:

20 dimes = 10 x 20 = $2.00 and 8 nickels = 40 cents.

total is 2.40

4 0

2 years ago

If x+1/x=7,find x^2+1/x^2

trapecia [35]

Answer:

x²+1/x² = 51

Explanation:

Given x - 1/x = 7 ---(1)

We know the algebraic identity:

a²+b²-2ab = (a-b)²

Or

a²+b² = (a-b)²+2ab

Now,

x²+1/x²

= (x-1/x)²+2*x*(1/x)

= (x-1/x)²+2

:7²+2 [ from (1)] =

= 49+2

= 51

Therefore,

x²+1/x² = 51

3 0

2 years ago

Identify the independent and dependent variables in the following situation: The more hours Beth studies, the higher the GPA she

grandymaker [24]

Hours and studying: independent
GPA: dependent

5 0

2 years ago

Tonya and Leo each bought a cell phone at the same time. The trade-in values, in dollars, of the cell phones are modeled by the

Paha777 [63]

Answer:

The answer is Tonya's phone had the greater initial trade-in value.

Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.

Step-by-step explanation:

Given

Tonya

$f(x) = 490 * 0.88^x$

Leo

$x \to g(x)$

$0 \to 480$

$2 \to 360$

$4 \to 470$

Solving (a): The phone with greater initial value

The initial value is when x = 0. So, we have:

$f(x) = 490 * 0.88^x$

$f(0) = 490 * 0.88^0$

$f(0) = 490 * 1$

$f(0) = 490$

From Leo's table

$g(0) = 480$

By comparison;

$f(0) > g(0)$

i.e.

$490 > 480$

<em>So: Tonya's had the greater initial trade-in value</em>

Solving (b): The phone with lesser rate

An exponential function is:

$y = ab^x$

Where:

$b \to rate$

For Tonya

$b = 0.88$

For Leo, we have:

$(x_1,y_1) = (0,480)$

$(x_2,y_2) = (2,360)$

So, the equation becomes:

$y = ab^x$

$480 = ab^0$ and $360 = ab^2$

Solving $480 = ab^0$ , we have:

$480 = a * 1$

$480 = a$

$a= 480$

$360 = ab^2$ becomes

$360 = 480 * b^2$

Divide both sides by 480

$0.75 = b^2$

Take square roots

$0.87 = b$

$b=0.87$ -- Leo's rate

By comparison; Leo's rate is slower i.e. 0.87 < 0.88

6 0

2 years ago

$43 shirt; 6% tax round to the nearest cent

Aleksandr-060686 [28]

If you would like to know how much did the shirt cost after 6% tax, you can calculate this using the following steps:

6% of $43 = 6/100 * 43 = $2.58

$43 + $2.58 = $45.58

The correct result would be $45.58.

7 0

2 years ago

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