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
Answer:
The number under the fraction line tells how many equal parts the whole was broken into
Answer:
A and C
<em>I hope this helps! ^^</em>
<em></em>
If triangle abc is similar to def
That means all angles are the same and sides will be multiplied by some factor x. So AB(x)= DE
8x=24
Therefore x =3
Now BC=EF/x
BC=42/3
BC= 14
Answer:
<h3>
The second: f(-5) = 2</h3>
Step-by-step explanation:
x = -5
-5 < -4 and if x<-4 then f(x) = - 2x - 8
so:
f(-5) = - 2(-5) - 8 = 10 - 8 = 2