1. Remove the parenthesis using the next rules:
2. Start to remove the parentheses from the center to the edges:
<h2>Then, the solution is 8</h2>
Answer:
4
Step-by-step explanation:
12 can be dived into 4 a total of 3 times. 16 can be divided into 4 a total of 4 times
Multiply 8/3 by 3/5 and get 8/5
Answer:
16.2 = 
and 121 = 
Step-by-step explanation:
16.2 can be simplified to its fraction form, which is
which is 16.2
121 is already simplified since it is a whole number, but its fraction form would be
which is 121
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<em>(I hope this helped & good luck! <3)</em>
Answer:
a) -8/9
b) The series is a convergent series
c) 1/17
Step-by-step explanation:
The series a+ar+ar²+ar³⋯ =∑ar^(n−1) is called a geometric series, and r is called the common ratio.
If −1<r<1, the geometric series is convergent and its sum is expressed as ∑ar^(n−1) = a/1-r
a is the first tern of the series.
a) Rewriting the series ∑(-8)^(n−1)/9^n given in the form ∑ar^(n−1) we have;
∑(-8)^(n−1)/9^n
= ∑(-8)^(n−1)/9•(9)^n-1
= ∑1/9 • (-8/9)^(n−1)
From the series gotten, it can be seen in comparison that a = 1/9 and r = -8/9
The common ratio r = -8/9
b) Remember that for the series to be convergent, -1<r<1 i.e r must be less than 1 and since our common ratio which is -8/9 is less than 1, this implies that the series is convergent.
c) Since the sun of the series tends to infinity, we will use the formula for finding the sum to infinity of a geometric series.
S∞ = a/1-r
Given a = 1/9 and r = -8/9
S∞ = (1/9)/1-(-8/9)
S∞ = (1/9)/1+8/9
S∞ = (1/9)/17/9
S∞ = 1/9×9/17
S∞ = 1/17
The sum of the geometric series is 1/17
