Answer:
Option 4
Step-by-step explanation:
Term = n/(4^n)
(n+1)th term = (n+1)/[4^(n+1)]
Ratio: (n+1)/[4^(n+1)] ÷ n/(4^n)
= (n+1)/[4^(n+1)] × (4^n)/n
= [(n+1)/n] × (1/4)
For large n, (n+1)/n approaches 1
[(n+1)/n] × (1/4) approaches 1/4 which is less than 1
Since the ratio is less than 1, series converges
Answer:
(6,1)
Step-by-step explanation:
midpoint = ((x2+x1),(y2+y1)/2)
= (6+6)/2, (-5+7)/2
= 12/2, 2/2
= 6,1
It is a down shift of 3.
Also written as (x, y-3)
Answer:
K = 11
Step-by-step explanation:
3(k - 6) = 15
3k - 18 = 15
3k = 15 + 18
3k = 33
K = 33/3
K = 11
Thus, the value of K is 11
Answer:
-11
Step-by-step explanation:
-14+3=-11