Given:
The arithmetic sequence is −15, −33, −51, −69.
To find:
The nth term of the arithmetic sequence.
Solution:
We have,
−15, −33, −51, −69
Here,
First term: a = -15
Common difference is



Now, nth term of an arithmetic sequence is

Substitute a=-15 and d=-18.



Therefore, the nth term of the given arithmetic sequence is
.
Answer:

Step-by-step explanation:
θ = 228° = (228°)×(π/180° radians/degree) = 228/180 radians
= 19/15 radians
≈ 1.266...(repeating) radians
Answer:
w = 3 is your answer.
Step-by-step explanation:
You want to get w by itself.
<em>(2w - 1)/(4) = 2 - w </em><u>You will add the w on both sides.</u>
<em>(3w - 1)/(4) = 2 </em><u>You will multiply 4 on both sides.</u>
<em>3w - 1 = 8 </em><u>You will add 1 on both sides.</u>
<em>3w = 9 </em><u>You will divide 3 on both sides.</u>
w = 3 is your answer.
Answer:

Step-by-step explanation:
we know that
The <u>distance formula</u> is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points
The formula to calculate the distance between two points is equal to

we have
A(1, 1) and B(7, −7)
Let
(x1,y1)=A(1, 1)
(x2,y2)=B(7, −7)
substitute the given values in the formula





Answer:
60%
Step-by-step explanation:
3/5 is 60%