The sequence 3, 1,1/3 is a geometric sequence
The 7th term of the sequence is 1/243
<h3>How to determine the 7th term?</h3>
The sequence is given as:
3, 1,1/3
The above sequence is a geometric sequence with the following parameters:
- First term, a= 3
- Common ratio, r = 1/3
The nth term is then calculated as:
Tn = ar^(n-1)
So, the 7th term is:
T7 = ar^6
Substitute known values
T7 = 3 * (1/3)^6
This gives
T7 = 1/3^5
Evaluate
T7 = 1/243
Hence, the 7th term of the sequence is 1/243
Read more about geometric sequence at:
brainly.com/question/24643676
3x - 2y = 7
-2y = -3x + 7
y = 3/2x - 7/2....slope of this line is 3/2. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is -2/3 (see how I flipped the slope and changed the sign)
y = mx + b
slope(m) = -2/3
(-3,-2).....x = -3 and y = -2
now we sub and find b, the y int
-2 = -2/3(-3) = b
-2 = 2 + b
-2 - 2 = b
-4 = b
so ur perpendicular equation is : y = -2/3x - 4 <==
Number of hours : 1 , 1.5 , 2 , 2.5
Distance : 10 , 30 , 50 , 70
Answer:
24 Letters and 4 Postcards
Step-by-step explanation:
We have to set up a system of equations, since we have two unknown variables. Lets say postcards is the variable "x" and letters is the variable "y".
Our first equation will be the money spent: 0.33x + 0.49y = 13.08, this comes from knowing that it costs 0.33 dollars to mail a postcard and 0.49 dollars to send a letter.
The second equation is the total sent: x + y =28.
Now we need to solve for a single variable, let's do y (or letters). If we subtract y from both sides we get: x = 28 - y.
We can plug that into our first equatino to get: 0.33(28 - y) + 0.49y = 13.08.
If we multiply things out we get: 9.24 - 0.33y + 0.49y = 13.08, and now we have like terms. 9.24 + 0.16y = 13.08.
Subtract 9.24 from both sides to get: 0.16y = 3.84
Divide both sides by 0.16 to get: y = 24.
Now we can plug this into x + y = 28 to see that x= 4.
You could make sure this is correct by solving for x instead of y and do the same process.
Hope this helps.
Answer:
n = -0.7
Step-by-step explanation:
-2n+1.8=3.2
subtract 1.8 from both sides of the equation:
-2n = 1.4
divide both sides by -2:
n = -0.7
