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Elza [17]
3 years ago
6

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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The equation w = 6m+4, relates how a dog's weight varies with age, where m represents its age in months, and the w represents it
natima [27]

Answer:

<h3>9 months</h3>

Step-by-step explanation:

Given the relationship of the dogs weight ang its age modeled by the equation;

w = 6m+4

m represents its age in months, and;

w represents its weight in pounds

Given

w = 58pounds

Required

number of months m before the dog weigh 58pounds;

Substitute w = 58 into the function and get m as shown;

w = 6m + 4

58 = 6m + 4

subtract 4 from both sides

58-4 = 6m+4-4

54 = 6m

divide both sides by 6

54/6 = 6m/6

9 = m

m = 9

Hence it will take 9months before the dog will weigh 58 pounds

5 0
2 years ago
4x-9=6-x<br><br> Can someone please give step by step working out?
maxonik [38]

Answer:

= 3

Step-by-step explanation:

3 0
2 years ago
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mylen [45]
B and C are absurd; if a series converges, it must have a sum, but if a series diverges, it cannot have a sum.

Now, notice that

\dfrac12+\dfrac29+\dfrac4{27}+\dfrac8{81}+\cdots=\dfrac12+\dfrac{2^{2-1}}{3^2}+\dfrac{2^{3-1}}{3^3}+\dfrac{2^{4-1}}{3^4}+\cdots

That is, we can write the sum more compactly as

\dfrac12+\dfrac12\displaystyle\sum_{n=1}^\infty\left(\frac23\right)^n

The series is geometric with common ratio \dfrac23, so the series converges (and thereby has a sum), so the answer is D.
6 0
2 years ago
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Eva8 [605]

Answer:

Slope is 5/2

Step-by-step explanation:

5x-2y=10

subtract 5x from both sides

-2y=-5x+10

Then you divide -2 on both sides

y=5/2x-5

Which will result 5/2 as the slope

6 0
3 years ago
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Angelina_Jolie [31]
Spending money, since your amount of money is decreasing, which is negative
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