Answer:
an = -3·2^(n-1)
Step-by-step explanation:
The first term is a1 = -3.
The common ratio is r = -6/-3 = 2.
The given formula tells you the formula for this sequence is ...
an = -3·2^(n-1)
Answer:
Total no. of balls = 8
Red balls = 3
Yellow balls = 2
Green balls = 3
Now,
P (picking a yellow ball) = 2/8 = 1/4
P (picking a green ball) = 3/8

The face dimensions are all the same, so the 3 lateral faces each have the same area. The lateral area is
3·(10 cm²) = 30 cm²
Given:
The function is:

The function f(x) is multiplied by a factor of 2 and then 3 is added to the function.
To find:
The effect on the graph of the function.
Solution:
The transformation is defined as
.... (i)
Where, k is stretch factor and b is vertical shift.
If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
It is given that the function f(x) is multiplied by a factor of 2 and then 3 is added to the function. So, the new function is:
...(ii)
On comparing (i) and (ii), we get
, it means the graph is vertically stretched by a factor of 2.
, it means the graph is shifted up 3 units.
Therefore, the correct option is D.