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3 years ago

Which expression can be used to find the nth term for the sequence below?

1 answer:

8 0

So the general formula is:

a(n)=1+n^2

Let's check:

a(1)=1+1^2=1+1=2

a(2)=1+2^2=1+4=5

a(3)=1+3^2=1+9=10

a(4)=1+4^2=1+16=17

The next numbers in the sequence should be:

a(5)=1+5^2=1+25=26

a(6)=1+6^2=1+36=37 etc.

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Find a1 if Sn = 89,800, r = 3.4, and n = 10. Round to the nearest hundredth if necessary.

xxMikexx [17]

Answer:

$a_1=1.04$

Step-by-step explanation:

We have a geometric sequence with:

$Sn = 89,800$ , $r = 3.4$ , and $n = 10$

Where

Sn is the sum of the sequence

r is the common ratio

$a_1$ is the first term in the sequence

n is the number of terms in the sequence

The formula to calculate the sum of a finite geometric sequence is:

$S_n=\frac{a_1(1-r^n)}{1-r}$

Then:

$89,800=\frac{a_1(1-(3.4)^{10})}{1-3.4}$

Now we solve for $a_1$

$89,800(1-3.4)=a_1(1-(3.4)^{10})$

$a_1=\frac{89,800(1-3.4)}{1-(3.4)^{10}}\\\\a_1=1.04$

4 0

3 years ago

What are social evils?

cricket20 [7]

Step-by-step explanation:

Those activities which directly or indirectly affect the people living in a society or all the social being are called social evils .

hope it is helpful to you ☺️

4 0

3 years ago

I don’t know what to do with the 3 feet above the ground

Slav-nsk [51]

Answer:

3 seconds

Step-by-step explanation:

You want to set h(t)=3, then take the root such that t≠0. You would have:

3=3+48t−16t^2

Let's solve your equation step-by-step.

3=3+48t−16t2

Step 1: Simplify both sides of the equation.

3=−16t2+48t+3

Step 2: Subtract -16t^2+48t+3 from both sides.

3−(−16t2+48t+3)=−16t2+48t+3−(−16t2+48t+3)

16t2−48t=0

Step 3: Factor left side of equation.

16t(t−3)=0

Step 4: Set factors equal to 0.

16t=0 or t−3=0

t=0 or t=3

3 makes more sense than 0 because the ball can't have been in the air for 0 seconds.

So the ball was in the air for 3 seconds.

7 0

3 years ago

What is the value of x? a. -16 b. 120 c. 60 d. 16

Naily [24]

D is the answer to your question

7 0

3 years ago

Read 2 more answers

The National Sleep Foundation recommends that teenagers aged 14 to 17 years old get at least 8 hours of sleep

dexar [7]

Answer:

Less than 8 hours

Step-by-step explanation:

Kahn

8 0

3 years ago