The answer is 1. Anything to the 0 power is 1.
Answer:
the coordinates of the point of x and y is -1÷ 2 and -√3÷ 2
Step-by-step explanation:
The computation of the coordinates of the point is shown below:
The angle is
= 4π ÷ 3
The radius is 1 unit
Now
x = rcos
, and y = rsin
Now
x = 1cos(4π ÷ 3) = -1÷ 2
y = 1sin(4π ÷ 3) = -√3÷ 2
hence, the corordinates of the point of x and y is -1÷ 2 and -√3÷ 2
First term is 2 and the common difference is the value by which it increases which is 2.
Answer:
Tn = 6.4 + 1.8n
Step-by-step explanation:
Given
Sequence: 8.2, 10, 11.8, 13.6
Required
The formula of the sequence.
First, the type of the sequence needs to be determined (arithmetic or geometric)
It is an arithmetic sequence because each successive sequence is separated by a common difference..
The common difference is represented by d and it's calculated as follows.
d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8
Each of the above gives
d = 1.8
Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.
Tn = T1 + (n - 1)d
Where T1 is the first term of the progression; T1 = 8.2
By substituting 8.2 for T1 and 1.8 for d.
This gives
Tn = 8.2 + (n - 1) * 1.8
Open bracket
Tn = 8.2 + 1.8 * n - 1 * 1.8
Tn = 8.2 + 1.8n - 1.8
Collect like terms
Tn = 8.2 - 1.8 + 1.8n
Tn = 6.4 + 1.8n
Hence, the formula of the sequence is Tn = 6.4 + 1.8n
Just continue multiplying by -6. The 8th term would be -1119744