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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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<h2>Translating Sentences into Equations</h2>
A key part of this is recognizing certain words to change into operations or numbers:
- <em>quotient</em> = divide
- <em>three more</em> = add 3
- <em>'a/the number' </em>= use a variable (in this case, it's <em>w</em>)
We're given:
- Three more than the quotient of a number and 7 equals 6
⇒ 'the quotient of a number and 7' tells us we divide <em>w</em> by 7: - Three more than
equals 6
⇒ 'three more than' means we add 3 to the fraction: equals 6