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Chapter 14: Problem 25
Find each indicated sum. $$\sum_{i=5}^{9} 11$$
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Use the Binomial Theorem to find a polynomial expansion for each function. Then use a graphing utility and an approach similar to the one in Exercises 69 and 70 to verify the expansion. $$f_{1}(x)=(x+2)^{6}$$
Will help you prepare for the material covered in the next section. Use the formula \(a_{n}=a_{1} 3^{n-1}\) to find the 7 th term of the sequence \(11,33,99,297, \dots\)
Use the Binomial Theorem to find a polynomial expansion for each function. Then use a graphing utility and an approach similar to the one in Exercises 69 and 70 to verify the expansion. $$f_{1}(x)=(x-1)^{3}$$
$$\text { Solve: } \log \left(x^{2}-25\right)-\log (x+5)=3$$
Find a general term, \(a_{n},\) for each sequence. More than one answer may be possible. Evaluate without using a calculator: \(\frac{600 !}{599 !}\)
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