Geo is
an=a1r^(n-1)
2nd term is 12
4th term is 4/3
a2=a1r^(2-1)=12
a2=a1r=12
a4=a1r^(4-1)=4/3
a4=a1r^3=4/3
we have
a1r=12 and a1r^3=4/3
(a1r^3)/(a1r)=r^2=(4/3)/12=1/9
1/9=r^2
sqrt oth sides
1/3=r
the common ratio is 1/3
6x-2y=16
(5x+y=24)*2
__________
6x-2y=16
10+2y=48 Add the equations”+”
—-
16x=64
X=4
So y=1
3n -10 ≥ 2
Add 10 to each side:
3n ≥ 12
Divide both sides by 3:
n ≥12/3
n≥4
The dot would be solid and located on the number 4, with the line and arrow moving/ pointing to the right.
1. n >2
2. n≤3
3. n<4
4. n≥5
Answer: common difference = -5
Step-by-step explanation:
This is an arithmetic progression. The common difference will be gotten by subtracting the 1st term from the 2nd term. This will be:
1st term = 12
2nd term = 7
3rd term = 2
Common difference = 7 - 12 or 2 - 7 = -5
It isn't an geometric progression as the ratio isn't thesame
= 2nd term / 1st term
= 7/12
= 3rd term / 2nd term
= 2/7
Therefore, it's an arithmetic progression with difference of -5
Answer:
w>-12
Step-by-step explanation:
6>w/-2 (Given)
6>-w/2 (Rewrite)
12>-w (Multiply both sides by 2)
-12<w (Remember to flip the sign when dividing or mulitplying by a negative)
w>-12 (Rewrite with w in front)
Therefore, w>-12 is the solution to the inequality.