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3 years ago

Find a general term a, for the sequence whose first four terms are given. 1 /1,1/4,1/9,1/16

Mathematics

1 answer:

pishuonlain [190]3 years ago

3 0

Answer:

an = 1/n^2

Step-by-step explanation:

We notice that the denominators are the squares of successive integers. The general term will be ...

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

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4. The slope of the tangent for the function y = 1x is 1/(2(x). Find the equation of the tangent line at the point x = 1. Illust

Marianna [84]

Answer:

$x-2y+1=0$

Step-by-step explanation:

We are given the following information in the question:

$y = \sqrt{x}$

Differentiating y with respect to x:

$\displaystyle\frac{dy}{dx} = \frac{1}{2\sqrtx}$

At x = 1

$\displaystyle\frac{dy}{dx}\Bigr|_{\substack{x=1} }= \frac{1}{2\sqrt{1}}=\frac{1}{2}$

$y(1) = \sqrt{1} = 1$

Equation of tangent:

$(y-y_0) = \displaystyle\frac{dy}{dx}(x-x_0)$

Putting the values:

$(y-y(1)) = \displaystyle\frac{dy}{dx}\Bigr|_{\substack{x=1} }(x-1)\\\\y - 1= \frac{1}{2}(x-1)\\2y -2 = x - 1\\x-2y+1=0$

The above equations are the required equation of the tangent.

3 0

3 years ago

Can someone help me please

Fofino [41]

Answer: Least to greatest: 6, 4+2n, 12.5, 4n

Step-by-step explanation:

pi = 3.14

4n = 12.56

4 + 2n = 10.28

Least to greatest: 6, 4+2n, 12.5, 4n

6 0

3 years ago

Read 2 more answers

Antonia bought a set of dishes, a towel, and a candle at a housewares store. The set of dishes cost $35.02, the towel cost $21.4

vekshin1

Answer:

Antonia saved $5.39

Step-by-step explanation:

Candle:

$9.59 - $0.50 (coupon) = $9.09

Towel:

$21.43 - $2.75 (coupon) = $18.68

Dishes:

$21.43 x 10% = 2.143

$21.43 - $2.143 = $19.287, rounded to the nearest cent and it’s $19.29.

Calculate the amount of money saved by adding 0.50 + 2.75 + 2.143, which is 5.393. Round to the nearest cent and it will be $5.39.

4 0

3 years ago

In a class of 20 students, 9 are female and 15 have an A in the class. There are 2 students who are male and do not have an A in

Y_Kistochka [10]

Answer:

3/5

Step-by-step explanation:

9/15=3/5

since 15 had an a you divide the girls over the people who had an A

3 0

3 years ago

Write 4/25 as a decimal

skelet666 [1.2K]

3 0

3 years ago

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