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Rom4ik [11]
3 years ago
14

6.67 pts

Mathematics
1 answer:
trapecia [35]3 years ago
7 0

Answer:

Step-by-step explanation:

Mmmmm dirk

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Step-by-step explanation:

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Find a1 if Sn = 89,800, r = 3.4, and n = 10. Round to the nearest hundredth if necessary.
xxMikexx [17]

Answer:

a_1=1.04

Step-by-step explanation:

We have a geometric  sequence with:

Sn = 89,800, r = 3.4, and n = 10

Where

Sn is the sum of the sequence

r is the common ratio

a_1 is the first term in the sequence

n is the number of terms in the sequence

The formula to calculate the sum of a finite geometric sequence is:

S_n=\frac{a_1(1-r^n)}{1-r}

Then:

89,800=\frac{a_1(1-(3.4)^{10})}{1-3.4}

Now we solve for a_1

89,800(1-3.4)=a_1(1-(3.4)^{10})

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4 0
3 years ago
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