First observe that if ,
Let and . It follows that
Now let , so . Solving for ,
which means
Now solve for .
(note that we assume )
(we omit since is not true)
A. Sigma notation
The formula for finding the nth value of the geometric series
is given as:
an = a1 * r^n
Where,
an = nth value of the series
<span>a1 = 1st value in the geometric series = 940</span>
r = common ratio = 1/5
n = nth order
The sigma notation for the sum of this infinite geometric
series is therefore,
(see attached photo)
B. Sum of the infinite geometric series
The formula for calculating the sum of an infinite
geometric series is given as:
<span>S = a1 / (1 – r)</span>
Substituting the given values:
S = 940 / (1 – 1/5)
<span>S = 1,175</span>
The Solution.
The correct answer is option B.
Explanation:
This option is the only option with a constant change of 5 unit
Answer:
It is based on how many decimal places are in the equation.
40.5 /3 = 13.5
2.52 / 0.6=4.2
150.88 / 4= 37.72
1.54 /7 = .22
7 7/8 + 5 13/16
We must have a common denominator between the 2 fractions.
8 can go into 16.
7 x 2 = 14
8 x 2 = 16
The fraction is now 14/16 rather than 7/8.
14/16 + 13/16 = 27/16 = 1 11/16
7 + 5 = 12
12 + 1 11/16 = 13 11/16.
The final sum is 13 11/16.