OLD 9. Sequences, Induction, and Probability

Find each indicated sum. ${\sum }_{i=5}^{9}11$

In Exercises 55–60, express each sum using summation notation. Use a lower limit of summation of your choice and k for the index of summation. $a+(a+d)+(a+2d)+\cdots +(a+nd)$

Find each indicated sum. ${\sum }_{i=1}^{6}5i$

Write the first four terms of each sequence whose general term is given. $a_n=1/(n-1)!$

Find each indicated sum. ${\sum }_{i=0}^4\frac{(-1{)}^i}{i!}$

Use a calculator's factorial key to evaluate each expression. (300/20)!

Express each sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation. 1/2+2/3+3/4+⋯+ 14/(14+1)

Evaluate each factorial expression. 17!/15!

Express each sum using summation notation. Use 1 as the lower limit of summation and i for the index of summation. 1+2+3+⋯+ 30

Find each indicated sum. ${\sum }_{i=1}^4{(-\frac{1}{2})}^i$

In Exercises 61–68, use the graphs of and to find each indicated sum.

${\sum }_{i=1}^5(a_i^2+1)$