5c+1/2(3/4-2/3c) SIMPLIFY PLEASE
1 answer:
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The sum of the convergent series is 5.31
For given question,
We have been given a series
We need to find the sum of given convergent series.
Given series is a geometric series with ratio r = sin(1)
The first term of the given geometric series is
So, the sum is,
=
= sin(1) / [1 - sin(1)]
This means, the series converges to sin(1) / [1 - sin(1)]
=
=
=
= 5.31
Therefore, the sum of the convergent series is 5.31
Learn more about the convergent series here:
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Answer:
Step-by-step explanation:
The multiplicative inverse of a complex number y is the complex number z such that (y)(z) = 1
So for this problem we need to find a number z such that
(3 - 2i) ( z ) = 1
If we take z =
We have that
would be the multiplicative inverse of 3 - 2i
But remember that 2i = √-2 so we can rationalize the denominator of this complex number
Thus, the multiplicative inverse would be
The problem asks us to verify this by multiplying both numbers to see that the answer is 1:
Let's multiplicate this number by 3 - 2i to confirm:
Thus, the number we found is indeed the multiplicative inverse of 3 - 2i