All categories

3 years ago

40 POINTS!!! PLEASE ANSWER SOON. WILL MARK BRAINLIEST

Mathematics

1 answer:

algol [13]3 years ago

4 0

Answer:

Step-by-step explanation:

N = 6

S = 0 n = 1

2(1) - 1 = 1

S = 0 + 1 = 1

n = n + 1

n = 1 + 1

n = 2

S = 1 n = 2

2(2) - 1 = 3

S = 1 + 3 = 4

n = n + 1

n = 2 + 1

n = 3

S = 4 n = 3

2(3) - 1 = 5

S = 4 + 5 = 9

n = n + 1

n = 3 + 1

n = 4

S = 9 n = 4

2(4) - 1 = 7

S = 9 + 7 = 16

n = n + 1

n = 4 + 1

n = 5

S = 16 n = 5

2(5) - 1 = 9

S = 16 + 9 = 25

n = n + 1

n = 5 + 1

n = 6

S = 25 n = 6

2(6) - 1 = 11

S = 25 + 11 = 36

n = n + 1

n = 6 + 1

n = 7 > N

Stop

You might be interested in

I need help plsss. im stuck

noname [10]

Answer:

h = 6 cm

Step-by-step explanation:

Volume of cylinder = 54 π cm³

πr²h = 54π

π * 3 * 3 * h = 54π

$h = \frac{54 \pi }{\pi *3*3}\\\\h= 6$

6 0

3 years ago

Represent the geometric series using the explicit formula.

Dennis_Churaev [7]

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Further explanation:

Given sequence is:

3, -6, 12, -24, ...

We have to find the common ratio first.

Common ratio is the ratio between two consecutive terms of a geometric sequence.

It is denoted by r.

So,

$Here,\\a_1=3\\a_2=-6\\a_3=12\\a_4=-24\\r=\frac{a_2}{a_1}=\frac{-6}{3}=-2\\\frac{a_3}{a_2}=\frac{12}{-6}=-2$

General formula for geometric sequence is:

$a_n=a_1r^{n-1}\\Here\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\and\\r\ is\ common\ ratio$

Putting the values of a1 and r

$a_n=3.(-2)^{n-1}\\f(n)=3.(-2)^{n-1}$

Hence,

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Keywords: Geometric Sequence, Explicit formula

Learn more about geometric sequence at:

#LearnwithBrainly

7 0

3 years ago

Find the radius of a circle that has an area of 212

kobusy [5.1K]

Answer:

The answer should be: r ≈ 8.21

5 0

3 years ago

Read 2 more answers

The city center parking garage charges $3.50 for the first hour and $1.25 for each additional half hour how much would it cost t

cupoosta [38]

Answer:

$7.25

Step-by-step explanation:

First hour=3.50

still have 1 1/2 hours left =3 half hours

1.25x 3=3.75

3.50+3.75=7.25

6 0

2 years ago

An arrow is shot vertically upward at a rate of 280 feet per second. Use the projectile formula

vfiekz [6]

Time is 16.75 seconds when the arrow reaches 200 ft

Step-by-step explanation:

Step 1: Find time at height of 200 ft

Height = 200 ft

v = 280 ft/s

Projectile formula, h = -16t² + vt

⇒ 200 = -16t² + 280t

⇒ 16t² - 280t + 200 = 0

⇒ 2t² - 35t + 25 = 0 (dividing by common factor 8)

Using quadratic formula to find t

t = (35 ±√35² - 4×2×25)/2×2

t = (35 ±√1225 - 200)4 = 35 ± 32.02/4

∴ t = 67/4 or 3/4

t = 16.75 seconds

4 0

2 years ago