In the given question,the given explicit formula is
Which is of the form
So the constant difference is 7 here.
Now for the recursive formula
To find the next term, we need to add 7 to the current term, that is
So the correct option is B
The length of a rectangle is 8 inches more than the width. if the perimeter is 204 inches what are the length and the width
1 answer:
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<u>Answer:</u>
The length of a paper clip chain is directly proportional to the number of paper clips. If a chain with 65 paper clips has a length of 97.5 inches then the length of chain with 14 paper clips is 21 inches.
<u>Solution:</u>
Given that the length of a paper clip chain is directly proportional to the number of paper clips. Directly propotional means when the length of paper clip increases, then the number of paper clips also increases in same ratio.
Hence, by above definition, we get
------- eqn 1
From question, for a chain with 65 paper clips has a length of 97.5 inches, we get
Similarly, for a chain with 14 paper clips with length to be found, we get
Now by using eqn 1, we can calculate the length of 14 paper clips is,
Rearranging the terms we get,
Hence the length of chain with 14 paper clips is 21 inches.