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

Mathematics

1 answer:

Serga [27]3 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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