9514 1404 393
Answer:
d an = 6n^2 -4
Step-by-step explanation:
You only need to look at the values of the expressions for n=1 to determine the correct formula.
For n=1, the formula values are ...
- a: 4 +6 = 10
- b: 4 -6 = -2
- c: 6 +4 = 10
- d: 6 -4 = 2 . . . . . . the correct first term
The rule for the sequence is ...
Answer:
Kara got back = $1475
Step-by-step explanation:
Simple interest (S.I) = Principal* rate* time
Principal= 1250
rate=6%
time= 36/12= 3 years
S.I = 1250*0.06 * 3 = $225
<em>Amount= S.I +Principal</em>
Therefore, Kara got back $1250+225 = $1475
We have that
<span>6,18,54,162,...
we know that
a1=6
a2=18
a3=54
a4=162
a2/a1=18/6--------> 3
a3/a2=54/18-------> 3
a4/a3=162/54------> 3
therefore
a(n+1)=an*3
a1=6
for n=1
a(1+1)=a1*3---------> a2=a1*3--------> a2=6*3------> a2=18
for n=2
</span>a(2+1)=a2*3---------> a3=a2*3--------> a3=18*3------> a3=54
for n=3
a(3+1)=a3*3---------> a4=a3*3--------> a4=54*3------> a4=162
therefore
<span>the equation for the sequence is
</span>a(n+1)=an*3
<span> |6 – v| < 9 can be written as two separate inequalities:
+(6 - v) < 9, or -v < 3, or v > -3: (-3, infinity)
-(6-v) < 9, or -6 + v < 9, or v<15: (-infinity, 15)
These two intervals overlap: (-3,15)</span>