4(5x – 9) = -2(x + 7) solve and justify each step
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Answer:
Converges
Sum = 20.8333
Step-by-step explanation:
A geometric series has a general formula of:
Where 'a' is the initial term, 'n' is the number of terms, and 'r' is the constant ratio. If |r| < 1 than the series converges.
In this particular case, the initial term is a=25, and each term is being divided by -5, or multiplied by -0.2, so the general form would be:
Since 0.2 < 1.0, the series converges.
The sum of the series is given by:
The sum is 20.8333.