Answer:
(1)
(2)
If we divide equations (2) and (1) we got:
And then 
And then we can find the value 
and we got from equation (1)
And then the general term for the sequence would be given by:
And the best option would be:
C) a1=759,375; an=an−1⋅(1/15)
Step-by-step explanation:
the general formula for a geometric sequence is given by:
For this case we know that 
Then we have the following conditions:
(1)
(2)
If we divide equations (2) and (1) we got:
And then
And then we can find the value and we got from equation (1)
And then the general term for the sequence would be given by:
And the best option would be:
C) a1=759,375; an=an−1⋅(1/15)
Answer:
TRUE
Step-by-step explanation:
tanθ = 1/cotθ
cotθ = 0 when θ = ±(1/2)π, ±(3/2)π, … ±[(2n+1)/2]π.
∴ tanθ is undefined when θ = ±[(2n+1)/2]π.
secθ = 1/cosθ
cosθ = 0 when θ = ±(1/2)π, ±(3/2)π, , …, ±[(2n+1)/2]π.
∴ secθ is undefined when θ = ±[(2n+1)/2]π.
The tangent and secant functions are undefined for the same values of θ.
Answer:
300
Step-by-step explanation:
This equation says that 6 = 4, which is incorrect. However, if there was no - 2 on the right side of the equation the answer would be correct as 6 = 6
!z!=a→z=a or z=-a; z=4x+3, a=9+2x
!4x+3!=9+2x
1) 4x+3=9+2x
Solving for x:
4x+3-3-2x=9+2x-3-2x
2x=6
2x/2=6/2
x=3
Checking for extraneous solution:
!4x+3!=9+2x
x=3→!4(3)+3!=9+2(3)
!12+3!=9+6
!15!=15
15=15 Ok, then x=3 is not a extraneous solution
2) 4x+3=-(9+2x)
Solving for x:
4x+3=-9-2x
4x+3-3+2x=-9-2x-3+2x
6x=-12
6x/6=-12/6
x=-2
Checking for extraneous solution:
!4x+3!=9+2x
x=-2→!4(-2)+3!=9+2(-2)
!-8+3!=9-4
!-5!=5
5=5 Ok, then x=-2 is not a extraneous solution
Answer:
x = -2 or 3
