Answer:
52%
Step-by-step explanation:
11+12= 23
12/23=52
Answer:
The series is absolutely convergent.
Step-by-step explanation:
By ratio test, we find the limit as n approaches infinity of
|[a_(n+1)]/a_n|
a_n = (-1)^(n - 1).(3^n)/(2^n.n^3)
a_(n+1) = (-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)
[a_(n+1)]/a_n = [(-1)^n.3^(n+1)/(2^(n+1).(n+1)^3)] × [(2^n.n^3)/(-1)^(n - 1).(3^n)]
= |-3n³/2(n+1)³|
= 3n³/2(n+1)³
= (3/2)[1/(1 + 1/n)³]
Now, we take the limit of (3/2)[1/(1 + 1/n)³] as n approaches infinity
= (3/2)limit of [1/(1 + 1/n)³] as n approaches infinity
= 3/2 × 1
= 3/2
The series is therefore, absolutely convergent, and the limit is 3/2
9 : 2 = 18 : 4
As: 9 x 2 : 2 x 2 = 18 : 4
--------------------
36 : 8 = 18 : 4
As: 18 x 2 : 4 x 2 = 36 : 8
--------------------
72 : 16 = 18 : 4
As: 18 x 4 : 4 x 4 = 72 : 16
Answer:
a+b
Step-by-step explanation:
or any letter as long as it has the plus sign