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1 year ago

Finding the sums

Mathematics

1 answer:

Sav [38]1 year ago

7 0

The sum of the first 7 terms of the geometric series is 15.180

<h3>Sum of geometric series</h3>

The formula for calculating the sum of geometric series is expressed according to the formula. below;

GM = a(1-r^n)/1-r

where

r is the common ratio

n is the number of terms

a is the first term

Given the following parameters from the sequence

a = 1/36

r = -3

n = 7

Substitute

S = (1/36)(1-(-3)^7)/1+3
S = 1/36(1-2187)/4
S = 15.180

Hence the sum of the first 7 terms of the geometric series is 15.180

Learn more on sum of geometric series here: brainly.com/question/24221513

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<h3><u>Solution:</u></h3>

Given that In the center of town there is a square park with an area of 900 square feet

Stephen walks from one corner of the park to the opposite corner

To find: Distance walked by Stephen

We need to find the distance that the person walk from one corner of the park to the opposite corner.

So, we need to find the Diagonal of the square park

<em><u>The diagonal of square is given as:</u></em>

$\text{ Diagonal } = \sqrt{2} \times \text{ side}$

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