Ask question

Ask question

All categories

3 years ago

13

Which of the following is the explicit rule for a geometric sequence defined by a recursive formula of for which the first term

is 7?

2 answers:

Lena [83]3 years ago

7 0

Answer:

B. an = 7·13^(n-1)

Step-by-step explanation:

The general form of the explicit rule for a geometric sequence is ...

an = a1·r^(n-1)

The common ratio (r) is the multiplier in the recursive rule: 13. The first term (a1) is given as 7. Filling in these values, you have ...

an = 7·13^(n-1)

__

As always, you can check the answer choices to see which one satisfies the requirements. Here, you need go no further than evaluating each of the expressions for n=1.

A. a1 = 13·7² ≠ 7

B. a1 = 7·1 = 7 . . . . as required

C. a1 = 7·13² ≠ 7

D. a1 = 13·1 ≠ 7

Allushta [10]3 years ago

4 0

.it should be C for the question

You might be interested in

Help this is about shapes

denis-greek [22]

Answer:

exactly one pair of parallel sides =E

two pairs of sices of equal length = B,D

no right angle = A,C

8 0

3 years ago

The degenerative disease osteoarthritis most frequently affects weight-bearing joints such as the knee. Two random samples from

Vinvika [58]

Answer:

$t=\frac{(810-770)-0}{\sqrt{\frac{67^2}{13}+\frac{56^2}{19}}}}=1.771$

$df=n_1 +n_2 -2=13+19-2=30$

Since is a right tailed test the p value would be:

$p_v =P(t_{30}>1.771)=0.0434$

Comparing the p value with the significance level $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and the mean for group 1 is significantly higher than the mean for the group 2

Step-by-step explanation:

Data given

$\bar X_{1}=810$ represent the mean for sample 1

$\bar X_{2}=770$ represent the mean for sample 2

$s_{1}=67$ represent the sample standard deviation for 1

$s_{2}=56$ represent the sample standard deviation for 2

$n_{1}=13$ sample size for the group 2

$n_{2}=19$ sample size for the group 2

$\alpha=0.05$ Significance level provided

t would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the mean for category 1 is higher than the mean for category 2, the system of hypothesis would be:

Null hypothesis: $\mu_{1}-\mu_{2}\leq 0$

Alternative hypothesis: $\mu_{1} - \mu_{2}> 0$

We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

And the degrees of freedom are given by $df=n_1 +n_2 -2=13+19-2=30$

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

With the info given we can replace in formula (1) like this:

$t=\frac{(810-770)-0}{\sqrt{\frac{67^2}{13}+\frac{56^2}{19}}}}=1.771$

P value

Since is a right tailed test the p value would be:

$p_v =P(t_{30}>1.771)=0.0434$

Comparing the p value with the significance level $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and the mean for group 1 is significantly higher than the mean for the group 2

4 0

3 years ago

Find the 10th term in the Arithmetic Sequence -2, -5, -8, -11

Inessa [10]

As you can tell, the next time decreases by three every time. So, the tenth term would be -29.
-2,-5,-8,-11,-14,-17,-20,-23,-26,-29

4 0

3 years ago

Can someone help me? And possibley tell me how to solve this as well? I'm totally clueless haha

Bumek [7]

Answer:

? = 3

Step-by-step explanation:

To find the value of ?, substitute one of the ordered pairs from the table [except (0, 0)] into the given formula and solve for ?.

Given formula:

$\sf y=\boxed{?} \:x$

Substitute x = 1 and y = 3 into the formula:

$\sf 3=\boxed{?} \:1$

To isolate ? divide both sides by 1:

$\implies \sf \dfrac{3}{1}=\dfrac{\boxed{?} \:1}{1}$

$\implies \sf 3=\boxed{?}$

Therefore, ? = 3:

$\implies \sf y=3x$

Check by inputting another value of x from the table into the found formula and comparing the calculated y-value:

$\sf x=-2 \implies y=3(-2)=-6 \quad \boxed{\sf correct}$

$\sf x=3 \implies y=3(3)=9 \quad \boxed{\sf correct}$

5 0

2 years ago

Read 2 more answers

Solve the problem -8 / (-4) + (6 + 2) =?<br> A. 12<br> B. 6<br> C. 8<br> D. 10

zmey [24]

Answer:

d , 10

Step-by-step explanation:

-8 / -4 = positive 2, + (6+2) (eight) = 10

7 0

3 years ago

Read 2 more answers