Answer:
1) xₙ = n² - (n - 1)
2) 1/4
Step-by-step explanation:
1) 1 = 1² - (1-1)
3 = 2² - (2-1)
7 = 3² - (3-1)
13 = 4² - (4-1)
...........
xₙ = n² - (n - 1)
2) three consecutive terms of an exponential sequence: x, rx , r²x
x: 2nd term of linear sequence
rx: 6th term of linear sequence rx = x + 4d
r²x: 7th term of linear sequence r²x = rx + d d = r²x - rx
rx = x + 4 * (r²x - rx) = x + 4r²x - 4rx
4xr² -5rx + x = 0
x(4r² -5r + 1) = 0
x (4r - 1) ( r - 1) = 0
x = 0 or r = 1/4 or r = 1
if either x = 0 or r = 1 d will be equals to "0" everything became 0
So the only reasonable answer is r = 1/4
<h3>There are 135 bottles in all</h3>
<em><u>Solution:</u></em>
Given that,
A truck is carrying grapefruit juice, mango juice and orange juice bottles in a ratio of 1:1:7
Ratio = 1 : 1 : 7
Let the number of grape fruit juice bottles be 1x
Let the number of mango juice bottles be 1x
Let the number of orange juice bottles be 7x
There are 105 orange juice bottles
Therefore,
7x = 105
Divide both sides by 7
x = 15
Therefore,
number of grape fruit juice bottles = 1x = 15
number of mango juice bottles = 1x = 15
number of orange juice bottles = 7x = 105
Thus,
Total bottles = 15 + 15 + 105 = 135
Thus there are 135 bottles in all
Answer:
1.2
Step-by-step explanation:
We have given the variance between - group estimate is = 30
And the variance within - group estimate is =25
Now we have to calculate the F ratio
F ratio is defined as the ratio of variance between the group and variance within the group
So F ratio 
So for the given variance F ratio will be 1.2
Answer:
Step-by-step explanation:
10 sets × (3 pushups)/set = 30 pushups
She did a total of 30+15 = 45 pushups
Answers are 2 and 3
supplementary angles and adjacent angles
