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Andreas93 [3]
2 years ago
13

5. Evaluate the series 50 + 10 + 2 + . . . 62 The series diverges; it does not have a sum. 62.5

Mathematics
1 answer:
Serga [27]2 years ago
7 0

Answer:

62.5

Step-by-step explanation:

By dividing 50 by 10 and 10 by 2 we can find that <em>r</em>, or the common ratio is 1/5, meaning that this series converges, so it is solvable. The formula for a convergent series is \frac{a_{1}}{1-r}. By plugging in 1/5 for <em>r</em> and 50 for  a_{1} we can find that the sum of this infinite series is 62.5

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