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3 years ago

Use the formula to evaluate the infinite series. Round to the nearest hundredth if necessary.

Mathematics

2 answers:

bagirrra123 [75]3 years ago

8 0

Answer:

1.25.

Step-by-step explanation:

The common ratio r is 1/5 and the first term a1 = (1/5)^(1-1) = 1.

Sum to infinity = a1 / (1 - r)

= 1 / (1 - 1/5)

= 1 / 4/5

= 5/4

= 1.25 (answer)

Stolb23 [73]3 years ago

8 0

Answer:

Step-by-step explanation:

1.25

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2 years ago

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Step-by-step explanation:

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2 years ago

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2 years ago

Explain Steps. Do not answer. #10 and 11 Questions are in the Picture

svet-max [94.6K]

Answer:

Step-by-step explanation:

For problem 10:

1. AE/ED=AC/CB (Since triangle ABC is similar to triangle ADE, we can determine that the ratio of AE to ED is equal to the ratio of AC to CB)

2. AE/ED=(AE+EC)/CB (Rewrite AC as the sum of the lengths forming it; This is sometimes referred to as the Partition Postulate)

3. 9/x=(9+6)/10 (Substitute the given values into this equation)

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For problem 11:

1. AG/AB=AE/AD (Use the same strategy as step one in problem 10, since the rectangles are similar we can create this equation)

2. AG/(AG+GB)=AE/(AE+ED) (Rewrite sides as the some of their parts)

3. 14/(14+7)=18/(18+x) (Substitute given values)

4. x=9 (Solve for x)

lmk if there are mistakes in my explanation, hope this helps :)

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2 years ago