Answer:
Step-by-step explanation:
a set of al( 4pts) Find the equation of the sphere with center at (2,3,−1) That passes through the point ... ( 4pts) Find the point C on the line segment joining A(2,2,1) to B (3,−1,2) that divides it ... ( 4pts) Find the parametric equations of the line that contains the point P (0,2,1) and intersects the line L : x = 2t, y = 1 − 2t, z = 3 − t at a right angle. l points in a plane that are equidistant from a given point called the center
Answer:
7.2 + 0.8w
Step-by-step explanation:
combine like terms. Like terms have same variable with same power.
2.2w and (-1.4w) are like terms & 4.8 and 2.4 are like terms.
4.8 + 2.2w - 1.4w + 2.4 = 4.8 + 2.4 + 2.2w - 1.4w
= 7.2 + 0.8w
Answer:
aₙ= -2n²
Step-by-step explanation:
<h2><u>Solution 1:</u></h2>
The sequence:
The difference between the terms:
- a₁= -2
- a₂= a₁ - 6 = a₁ - 2*3= a₁- 2*(2²-1)
- a₃= a₂ - 10 = a₁ - 16= a₁ - 2*8= a₁ - 2*(3²-1)
- a₄= a₃- 14= a₁ - 30= a₁ - 2*15= a₁ - 2*(4² -1)
- ...
- aₙ= a₁ -2*(n²-1)= -2 -2n² +2= -2n²
As per above, the nth term is: aₙ= -2n²
<h2><u /></h2><h2><u>Solution 2</u></h2>
The sequence:
- -2, -8, -18, -32, -50
- -2*1, -2*4, - 2*9, -2*25
- -2*1², -2*2², -2*3², -2*4², -2*5², ..., -2*n²
- aₙ= -2n²
