The series converges, and its sum is 1/2.
If r > 1, the series is divergent. If r < 1, the series is convergent. In our sequence, r, the common ratio we multiply by to get the next term, is 7/9; therefore it is convergent.
To find the sum of a convergent series, we use the formula
a/(1-r), where a is the first term and r is the common ratio. We then have
1/9÷(1-7/9) = 1/9÷2/9 = 1/9×9/2 = 1/2
y=8x+23
y=x/6-1/2
i believe this is the answer
Answer:
1.5 miles per day
Step-by-step explanation:
Mr. Turner ran 1.5 miles per day, 4.5 miles / 3 = 1.5 miles.
Answer:
B.|-3x| > 15
Step-by-step explanation:
The probability that it rains everyday is 0.000729
Forecast for rain = 30%
Since it's a 6 days vacation, the probability that it rains every day will be:
= 30% × 30% × 30% × 30% × 30% × 30%
= 0.3 × 0.3 × 0.3 × 0.3 × 0.3 × 0.3
= 0.000729
Therefore, the probability is 0.000729
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