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1 year ago

Determine the number of terms, n, given the geometric series 1 3 9 27 ... and sn=3280.

Mathematics

1 answer:

lina2011 [118]1 year ago

5 0

The number of terms, 'n' is 8

<h3 /><h3>How to determine the number of terms</h3>

Let's determine the common ratio;

common ratio, r = 3/1 = 3

The formula for sum of geometric series with 'r' greater than 1 is given as; Sn = a( r^n - 1) / (r - 1)

n is unknown

Sn = 3280

Substitute the value

3280 = 1 ( 3^n - 1) / 3- 1

3280 = 3^n -1 /2

Cross multiply

3280 × 2 = 3^n - 1

6560 + 1 = 3^n

6561 = 3^n

This could be represented as;

3^8 = 3^n

like coefficient cancels out

n = 8

Thus, the number of terms, 'n' is 8

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3 years ago

A billboard designer has decided that a sign should have 4-ft margins at the top and bottom and 1-ft margins on the left and rig

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An equation is formed of two equal expressions. The value of x that maximizes the area of the printed region of the billboard is 9.655 ft.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given x is the left-right width of the billboard and y is the height of the billboard. Therefore,

The total area of the billboard, A= x·y

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x·y = 3600

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Hence, the value of x that maximizes the area of the printed region of the billboard is 9.655 ft.

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2 years ago

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Step-by-step explanation:

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