Intermediate Algebra (11th edition)

The general term is Now find Let Multiply. Subtract. NOW TRY OBJECTIVE 3 Use an arithmetic sequence in an application. Applying ...

Multiply equation (2) by and add to equation (1) to eliminate (1) times (2) Add. Divide by. Now find by substituting for dinto e ...

Finding the Sum of the First nTerms of an Arithmetic Sequence Evaluate the sum of the first five terms of the arithmetic sequenc ...

Second formula for Let Work inside the brackets. Subtract and then multiply. NOW TRY As mentioned earlier, linear expressions of ...

Write the first five terms of each arithmetic sequence. See Example 2. , 8. , , 10. , Use the formula for to find the general ...

45.A seating section in a theater-in-the-round has 20 seats in the first row, 22 in the second row, 24 in the third row, and so ...

Finding the Common Ratio Determine the common ratio rfor the geometric sequence. To find r, choose any two successive terms and ...

OBJECTIVE 3 Find any specified term of a geometric sequence.We can use the formula for the general term to find any particular t ...

694 CHAPTER 12 Sequences and Series Sum of the First nTerms of a Geometric Sequence The sum of the first nterms of the geometric ...

FIGURE 2shows how a graphing calculator can store the terms in a list and then find the sum of these terms. The figure supports ...

The sum of the first two terms is In a similar manner, we can find additional “partial sums.” Each term of the geometric sequenc ...

Finding the Sum of the Terms of an Infinite Geometric Sequence Evaluate the sum of the terms of the infinite geometric sequence ...

698 CHAPTER 12 Sequences and Series Complete solution available on the Video Resources on DVD 12.3 EXERCISES If the given sequen ...

34.B. G. Thompson puts $1000 in a retirement account at the end of each quarter of a year for 15 yr. If the account pays 4% annu ...

49.In a certain community, the consumption of electricity has increased about 6% per yr. (a)If a community uses 1.1 billion unit ...

SECTION 12.4 The Binomial Theorem 701 OBJECTIVES The Binomial Theorem 12.4 1 Expand a binomial raised to a power. 2 Find any spe ...

702 CHAPTER 12 Sequences and Series Although it is possible to use Pascal’s triangle to find the coefficients in for any positiv ...

Evaluating Binomial Coefficients Evaluate each binomial coefficient. (a) Let. Subtract. Definition of nfactorial Lowest terms Bi ...

Using the Binomial Theorem Expand = 16 m^4 + 96 m^3 + 216 m^2 + 216 m+ 81 NOW TRY = 16 m^4 + 418 m^32132 + 614 m^22192 + 412 m 2 ...

In this general expression, remember to start with the exponent on y, which is 1 less than the term number r. Then subtract that ...