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3 years ago

Determine the first four terms of the sequence in which the nth term is...

Mathematics

2 answers:

Anon25 [30]3 years ago

7 0

Answer:

1/5, 1/6, 1/7, 1/8

Step-by-step explanation:

The formula for the sequence is (n+3)!/ (n+4)!

The first terms uses n=1

a1 = (1+3)!/ (1+4)! = 4!/5! = (4*3*2*1)/(5*4*3*2*1) = 1/5

The first terms uses n=2

a2 = (2+3)!/ (2+4)! = 5!/6! = (5*4*3*2*1)/(6*5*4*3*2*1) = 1/6

The first terms uses n=3

a3 = (3+3)!/ (3+4)! = 6!/7! = (6*5*4*3*2*1)/(7*6*5*4*3*2*1) = 1/7

The first terms uses n=4

a4 = (4+3)!/ (4+4)! = 7!/8! = (7*6*5*4*3*2*1)/(8*7*6*5*4*3*2*1) = 1/8

Lelechka [254]3 years ago

3 0

Answer:

D. 1/5,1/6,1/7,1/8

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Find the 50th term of 6,12,18,24

Ilia_Sergeevich [38]

Answer:

300

Step-by-step explanation:

You simply multiply 50 and 6. I hope you have a nice day. :)

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2 years ago

Read 2 more answers

Calculate the future value of $51,123.21, earning interest at a rate of that is compounded daily for 20 years and 2 months (use

mina [271]

The compound interest formula is : $A = P(1+ \frac{r}{n})^n ^t$

where, A= Future value including the interest,

P= Principle amount, r= rate of interest in decimal form,

t= number of years and n= number of compounding in a year

Here, in this problem P= $ 51,123.21 , t= 20 years and 2 months

So, t= 20 + (2/12) years

t= 20 + 0.17 = 20.17 years

As the amount is compounded daily, so n= (12×30)= 360 [Using the traditional Banker’s rule of 30 days per month]

Thus, $A = 51,123.21( 1+ \frac{r}{360})^3^6^0^*^2^0^.^1^7$

$A= 51,123.21 (1+\frac{r}{360})^7^2^6^1^.^2$

When the interest rate is given, then we can use this equation for finding the future value.

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3 years ago

Which of the following equations could be used to find the value of 3,550 ÷ 25?

fiasKO [112]

Answer:

<em>A is correct answer</em>

Step-by-step explanation:

$(3000 + 500 + 50) \div 25 \\$

$(3550) \div 25$

$= = > 3550 \div 25$

Thanks

Don't forget to tell the name of your country.

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3 years ago

G=-4x/3, solve for x

Vaselesa [24]

Answer:

-3/4 g =x

Step-by-step explanation:

g=-4x/3

Multiply each side by 3

3g = -4/3 x *3

3g = -4x

Divide each side by -4

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3 years ago

A. 6.2 cm2

Flauer [41]

Answer:

The answer is "Option A".

Step-by-step explanation:

$\to Base= 2 \ cm\\\\\to height=3.1 \ cm\\\\$

Formula:

$\bold{Area= base \times height}\\\\$

$=2 \times 3.1 \\\\= 6.2 \ cm^2$

if the height value is 3 then area is =6

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3 years ago