Answer:
t=1
Step-by-step explanation:
16-2t=t+9+4t
Combine like term
16-2t = 5t+9
Add 2t to each side
16-2t +2t= 5t+2t+9
16 = 7t+9
Subtract 9 from each side
16-9 = 7t+9-9
7 = 7t
Divide each side by 7
7/7 = 7t/7
1=t
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:
brainly.com/question/15415793
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