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3 years ago

Find the explicit formula for the given sequence 1/4, 3/4, 5/4, 7/4

Mathematics

2 answers:

Harlamova29_29 [7]3 years ago

8 0

Step-by-step explanation:

d=(3/4)-(1/4)=(5/4)-(3/4)=(7/4)-(5/4)=1/2

then it is an arithmetic sequence

by using this equation :

a(n) = a1 +(n-1)d

and we have : a1=(1/4), d=(1/2)

So:

Explicit formula: a(n) = (1/4) +(n-1)*(1/2)

<em>hope this helps </em>

<em />

Setler [38]3 years ago

6 0

Answer:

Step-by-step explanation:

d=(3/4)-(1/4)=(5/4)-(3/4)=(7/4)-(5/4)=1/2

then it is an arithmetic sequence

by using this equation :

a(n) = a1 +(n-1)d

and we have: a1=(1/4), d=(1/2)

So:

Explicit formula: a(n) = (1/4) +(n-1)*(1/2)

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A baseball team has 4 pitchers, who only pitch, and 16 other players, all of whom can play any position other than pitcher. F

ivolga24 [154]

Answer:

2,075,673,600 batting orders may occur.

Step-by-step explanation:

The order of the first eight batters in the batting order is important. For example, if we exchange Jonathan Schoop with Adam Jones in the lineup, that is a different lineup. So we use the permutations formula to solve this problem.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$

First 8 batters

8 players from a set of 16. So

$P_{(16,8)} = \frac{16!}{(16 - 8)!} = 518918400$

Last batter:

Any of the four pitchers.

How many different batting orders may occur?

4*518918400 = 2,075,673,600

2,075,673,600 batting orders may occur.

5 0

3 years ago

Ava swam for 154 minutes during her first week of vacation. In her two weeks of vacation, she swam for a total of 357 minutes. H

ioda

Answer:

203 more minutes

Step-by-step explanation:

357=x+154

Subtract 154 from both sides

x=203

Hope this helps

3 0

2 years ago

Read 2 more answers

How do you solve that?

Aleks [24]

Put it in the form

ax^2 + bx + c = 0

use the quadratic formula

x = [ -b + sqrt( b^2 - 4 ac ) ] / 2a

x = [ -b - sqrt( b^2 - 4 ac ) ] / 2a

7v^2 - 7v - 22 = 0

a = 7
b = -7
c = -22

v = [ 7 + sqrt ( 49 - 4 * 7 ( -22) ] / 2 * 7 = 2.34

v = [ 7 - sqrt ( 49 - 4 * 7 ( -22) ] / 2 * 7 = -1.34

7 0

3 years ago

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5x-15y=45 solve for y

shepuryov [24]

Answer:

y=(0,-3)

Step-by-step explanation:

To find the y-intercept, substitute in 0 for x and solve for y

7 0

2 years ago

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eric is making a dress. the design calls for a right triangular piece of material. if the second angle has to be 35% what is the

svet-max [94.6K]

U have a right triangle...so one angle is 90%......and the second angle is 35%...keep in mind, the angles of a triangle = 180%
so the measure of the third angle is : 180 - 90 - 35 = 55%

3 0

3 years ago

Find the explicit formula for the given sequence 1/4, 3/4, 5/4, 7/4​

Find the explicit formula for the given sequence 1/4, 3/4, 5/4, 7/4