Ask question

Ask question

All categories

3 years ago

8

Find an expression for the number of squares in the nth pattern of the sequence. I noticed that the number of squares you add in

each pattern it depends on the pattern number (see image) but I don't know how to get the expression.

1 answer:

Morgarella [4.7K]3 years ago

3 0

Answer:

make clear the question please

You might be interested in

The sum of the series below is 10,900. how many numbers, n, are in the series? 19 20.5 22 23.5 ... 181

JulsSmile [24]

There are 109 terms in given series.

According to the statement

we have given that the sum of series is AP series and

This is 19 20.5 22 23.5 ... 181

And the sum of series is 10,900

Now, we have to find the number of terms in the series.

Then we use the summation formula which is

S = n/2 (a + L)

Substitute the all given values in it like

L = 181

A = 19 and S= 10,900

then

10,900= n/2(19+181)

10,900= n/2(200)

After solve the equation for n

10,900= 100n

n = 10,900 / 100

n = 109

There are 109 terms in given series.

So, There are 109 terms in given series.

Learn more about SERIES here brainly.com/question/6561461

#SPJ1

3 0

2 years ago

Write -4i+(1/4-5i)-(-3/4+8i)+17i as a complex number in the standard for

KatRina [158]

Answer:

$1+ 0i$

Step-by-step explanation:

A complex number is a number which has some real part and some imaginary part.

Standard form of a complex number is represented as

$a +bi$

Where $a$ is the real part,

and $bi$ is the imaginary part.

And $i = \sqrt{-1}$

Given complex number:

$-4i+\dfrac{1}{4}-5i)-(-\dfrac{3}{4}+8i)+17i\\\Rightarrow -4i+\dfrac{1}{4}-5i + \dfrac{3}{4}-8i+17i\\\Rightarrow \dfrac{3}{4}+\dfrac{1}{4}-4i -5i-8i+17i\\\Rightarrow \dfrac{3+1}{4}-17i+17i\\\Rightarrow \dfrac{4}{4}+0i\\\Rightarrow 1 + 0i$

Hence, the standard form is $1+ 0i$ .

8 0

3 years ago

Hurry please!!! Fast response

AlladinOne [14]

Answer:

A.

$SA= \frac{2}{3} \pi rl+16 \pi r^2$

Step-by-step explanation:

Surface area of the original cone

$SA= \pi r l + \pi r^2... (1)$

When, radius is quadrupled and slant height is reduced to one sixth

$i. e. \: \:r = 4r\: \: \&\:\: l= \frac{1}{6}l$

Plug the above values of r and $l$ in equation (1), new surface area becomes:

$SA= \pi (4r)\times \frac{1}{6} l+ \pi (4r)^2$

$SA= \frac{4}{6} \pi rl+16 \pi r^2$

$\huge \purple {\boxed {SA= \frac{2}{3} \pi rl+16 \pi r^2}}$

8 0

3 years ago

What is the area of the figure?

torisob [31]

Step-by-step explanation:

ans is 23 please mark me as brainlist please

5 0

2 years ago

Read 2 more answers

17 + x = 18 in 6th grade math what’s the answer?

Masteriza [31]

Subtract 17 from both sides , x=1

6 0

3 years ago

Read 2 more answers