As
, the sequence
converges to zero.
If you're talking about the infinite series
well we've shown by comparison that this series must also converge because we know any geometric series
will converge as long as
.
Answer:
x = 
Step-by-step explanation:
12-5x-4kx=y
1. Subtract 12 from both sides.
2.Distrubutive property (factor) a(b+c)=ab+ac
x(-5-4k)=y-12
x = 
=
Answer:
Log₆ (A⁵C² / D⁶) = –13
Step-by-step explanation:
From the question given above,
Log₆ A = 1
Log₆ C = 3
Log₆ D = 4
Log₆ (A⁵C² / D⁶) =?
Recall:
Log MN / U = Log M + Log N – Log U
Therefore,
Log₆ (A⁵C² / D⁶) = Log₆ A⁵ + Log₆ C² – Log₆ D⁶
Recall:
Log Mⁿ = nLog M
Thus,
Log₆ A⁵ + Log₆ C² – Log₆ D⁶
= 5Log₆ A + 2Log₆ C – 6Log₆ D
Log₆ A = 1
Log₆ C = 3
Log₆ D = 4
= 5(1) + 2(3) – 6(4)
= 5 + 6 – 24
= 11 – 24
= –13
Therefore,
Log₆ (A⁵C² / D⁶) = –13
Answer:
The length would be 32 and the width would be 10
Step-by-step explanation:
For the purpose of this, we'll set the width as x. We can then define the length as x + 22 since we know it is 22 ft longer than the width. Now we can use those along with the perimeter formula to solve for the width.
P = 2l + 2w
84 = 2(x + 22) + 2(x)
84 = 2x + 44 + 2x
84 = 4x + 44
40 = 4x
10 = x
Now since we know that the width is 10ft, we can add 22ft to it to get the length, which would be 32ft.
Answer:
21a^11b^3
Step-by-step explanation:
let me know if this is right
