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ZanzabumX [31]
3 years ago
11

Calculate the sum of the infinite series 98+84+72+432/7+...

Mathematics
2 answers:
bogdanovich [222]3 years ago
6 0
ANSWER

S_\infty= 686


EXPLANATION

The given infinite series is

98 + 84 + 72 +  \frac{432}{7}  + ...

The sum to infinity of this series is given by the formula,

S_\infty= \frac{a_1}{1 - r}

where the first term of this infinite geometric series is

a_1 = 98


and the common ratio is
r =  \frac{a_2}{a_1}


r =  \frac{72}{98}  =  \frac{6}{7}


We substitute these values to obtain,


S_\infty= \frac{98}{1 -  \frac{6}{7} }

We simplify the denominator to get,


S_\infty= \frac{98}{\frac{1}{7} }


This simplifies to

S_\infty= 98 \times 7 = 686
Andrei [34K]3 years ago
6 0

Answer:

D. 686

Step-by-step explanation:

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