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3 years ago

1, 1/4, 1/9, 1/16, 1/25.... write the explicit formula for this sequence

Mathematics

2 answers:

Dimas [21]3 years ago

8 0

$a_n=\dfrac{1}{n^2}$

VMariaS [17]3 years ago

5 0

$\bf \stackrel{\frac{1}{1^2}}{1}~~,~~\stackrel{\frac{1}{2^2}}{\cfrac{1}{4}}~~,~~\stackrel{\frac{1}{3^2}}{\cfrac{1}{9}}~~,~~\stackrel{\frac{1}{4^2}}{\cfrac{1}{16}}~~,~~\stackrel{\frac{1}{5^2}}{\cfrac{1}{25}}~\hspace{7em}a_n=\cfrac{1}{n^2}$

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URGENT!! PLEASE HELP!!!

olga55 [171]

Answer:

The correct option is B.

Step-by-step explanation:

The formula for amount after compound interest is

$A=P(1+\frac{r}{n})^{nt}$

Where P is principal, r is rate of interest, n is number of times interest compounded in a period, t is number of years.

It is given that Felix took out an unsubsidized student loan of $40,000 at a 3.6% APR, compounded monthly. The amount after 33 month is

$A=40000(1+\frac{0.036}{12})^{33}=44156.1074$

The amount after 33 month is $44156.1074. So, the new principle amount is $44156.1074.

The monthly payment of $44156.1074 for 20 years is

$m=\frac{P.V.(\fracr)}{1-(1+r)^{-n}}$

Where, P.V. is present value, r is rate of interest and n is number of times interest compounded.

$m=\frac{44156.1074(\frac{0.036}{12})}{1-(1+\frac{0.036}{12})^{-20\times 12}}$

$m=258.362447711$

$m\approx 258.36$

Therefore the correct option is B.

9 0

3 years ago

Also they have positive 1.25

aleksley [76]

-1.25............................

6 0

2 years ago

Find the solution set of the inequality<br> 35- 4x > 2

Orlov [11]

35-4x>2
-4x>2-35
-4x>-33
-x>-33/4
x<33/4 (x<8.25)

Solution: x<8.25. or x∈(-∞ , 8.25)

3 0

2 years ago

You have $7.45. You buy 8 items that cost $0.83 each. How much money do you have left

Agata [3.3K]

Answer:

$0.81

Step-by-step explanation:

left

$7.45-8(0.83)=7.45-6.64=0.81$

I hope I have helped you

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2 years ago

Raj recorded the scores of six of his classmates in the table.

WINSTONCH [101]

98-70 is 28 meaning that the range is 28

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2 years ago