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Chapter 12: Q. 237 (page 1214)

In your own words, explain the pattern of exponents for each variable in the expansion of.

Short Answer

Expert verified

In each case the exponent on the b is one less than the number of the term.

Step by step solution

01

Step 1. Given Information

For any real numbers aand b,and positive integer n,

a+bn=C0nan+C1nan-1b1+C2nan-2b2+...+Cnnbn

02

Step 2. Pattern of Exponents

Notice, that in each case the exponent on the bis one less than the number of the term. The (r+1)stterm is the term where the exponent of b is r.So we can use the format of the (r+1)stterm to find the value of a specific term.

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Most popular questions from this chapter

In the following exercises, expand each binomial using Pascal's Triangle.

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In the following exercise, determine if the sequence is geometric, and if so, indicate the common ratio.

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