Chapter PL, Problem 3P

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4th Edition

James Stewart + 2 others

ISBN: 9781305071742

Textbook Problem

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**Cutting up a Wire** A piece of wire is bent as shown in the figure. You can see that one cut through the wire produces four pieces and two parallel cuts produce seven pieces. How many pieces will be produced by 142 parallel cuts? Write a formula for the number of pieces produced by *n *parallel cuts.

To determine

**To find:**

The number of pieces is produced by 142 parallel cuts and to write a formula for number of pieces produced by *n* parallel cuts.

Explanation

**Calculation:**

Given that the one cut through the wire produces four pieces and two parallel cuts produce seven pieces.

From the given we know that sum of pieces increases by 3.

Now by this we can write the formula for the number of pieces produced by *n* parallel cuts is

Calculate the number of pieces is produced by 142 parallel cuts,

Here