A round plastic wading pool has diameter 5 FEET. It is filled with water to a depth of 6 INCHES. What is the volume of water in
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The recursive definition used to generate the sequence {3, 6, 3, 6, 3,...} is:
where
and
<em><u>Solution:</u></em>
Given sequence is 3, 6, 3, 6, 3,...
To find: recursive definition for the sequence
First term in the sequence is 3
Then you add on 3 to get to 6 as the second term
Then add -3 to get 3 as third term
This pattern goes on forever
3 + 3 = 6
6 - 3 = 3
3 + 3 = 6
6 - 3 = 3
and so on
<em><u>So we can generate a recursive definition as:</u></em>
Let be the nth term and "n" denotes the term's location
is the first term of sequence
, where
and
Here, is used to denote , we add on either +3 or -3 to the previous term to get next term
It is given in the question that, The area of ava rectangular back yard is 325 square yards and the length of the yards is 13 yards.
Let the width be w yard .
And area of rectangle is the product of length and width .
So we have
Dividing both sides by w
So the width is 25 yards .