Basic Technical Mathematics, 11th Edition

CHAPTER 19 PRACTICE TEST

As a study aid, we have included complete solutions for each Practice Test problem at the end of this book.

1. Write the first five terms of the sequence for which (a) $a_1\hspace{0.17em}=\hspace{0.17em}8$ and $d\hspace{0.17em}=\hspace{0.17em}\hspace{0.17em}-\hspace{0.17em}\mathrm{1/2}\hspace{0.17em};\hspace{0.17em}$ (b) $a_1\hspace{0.17em}=\hspace{0.17em}8$ and $r\hspace{0.17em}=\hspace{0.17em}\hspace{0.17em}-\hspace{0.17em}\mathrm{1/2.}$

2. Find the sum of the first seven terms of the sequence $6\hspace{0.17em},\hspace{0.17em}\hspace{0.17em}-\hspace{0.17em}2\hspace{0.17em},\hspace{0.17em}{\displaystyle \frac{2}{3}}\hspace{0.17em},\hspace{0.17em}\hspace{0.17em}\dots \hspace{0.17em}\hspace{0.17em}.\hspace{0.17em}$

3. If $4\hspace{0.17em},\hspace{0.17em}x\hspace{0.17em}+\hspace{0.17em}6\hspace{0.17em},\hspace{0.17em}$ and $3x\hspace{0.17em}+\hspace{0.17em}2$ are the first three terms of an arithmetic sequence, find the sum of the first 10 terms.

4. Find the fraction equal to the decimal 0.454545. . . .

5. Find the first three terms of the expansion of $\sqrt{1\hspace{0.17em}-\hspace{0.17em}4x}\hspace{0.17em}.\hspace{0.17em}$

6. Expand and simply the expression ${(2x\hspace{0.17em}-\hspace{0.17em}y)}^5\hspace{0.17em}.\hspace{0.17em}$

7. What is the value after 20 years of an investment of $2500 if it draws 5% annual interest compounded annually?

8. Find the sum of the first 100 even integers.