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kolbaska11 [484]
3 years ago
10

Calculate a5 for the geometric sequence in which a1=1600 and the common ratio is 3/4.

Mathematics
2 answers:
Cloud [144]3 years ago
8 0

Answer:

<em>a₅ = 506.25                   option a</em>

Step-by-step explanation:

Given that,

first term a₁ = 1600

common ratio (r) = \frac{3}{4}

We need to find the fifth term of the geometric progression

We know that the nth term formula

aₙ = a₁rⁿ-¹

where a₁ is first term and r is the common ratio

n is the number of terms

So, n = 5

a₅ = 1600 (\frac{3}{4})^{5-1}

a₅ = 1600*(\frac{3}{4}) ^{4}

a₅ = 1600*81/256

a₅ = \frac{2025}{4}

<em>a₅ = 506.25                   option a</em>

<em>That's the final answer</em>

zysi [14]3 years ago
8 0

Answer:

A. 506.25    

Step-by-step explanation:

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anzhelika [568]

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Step-by-step explanation:

For this case we have the following data given:

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And if we replace we got:

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In order to calculate the sample deviation we need to calculate the mean given by:

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And replacing we got:

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And the standard deviation can be calculated with this formula"

s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

And replacing we got:

s = 8.426

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