91Ó°ÊÓ

Find the sum for each series. $$\sum_{i=1}^{5}\left(4 i^{2}-2 i+6\right)$$

Use a graphing calculator to evaluate each sum. Round to the nearest thousandth. $$\sum_{i=1}^{10}-(1.4)^{i}$$

Use any or all of the methods described in this section to solve each problem. Musical Chairs Seatings In a game of musical chairs, 12 children will sit in 11 chairs. One will be left out. How many seatings are possible?

Evaluate each sum. $$\sum_{i=1}^{1000} i$$

Evaluate each sum. $$\sum_{k=1}^{2000} k$$

Use a graphing calculator to evaluate each sum. Round to the nearest thousandth. $$\sum_{j=1}^{6}-(3.6)^{j}$$

Use any or all of the methods described in this section to solve each problem. Plant Samples In an experiment on plant hardiness, a researcher gathers 6 wheat plants, 3 barley plants, and 2 rye plants. She wishes to select 4 plants at random. (a) In how many ways can this be done? (b) In how many ways can it be done if exactly 2 wheat plants must be included?

Find the sum for each series. $$\sum_{i=1}^{6}\left(2+i-i^{2}\right)$$

Use any or all of the methods described in this section to solve each problem. Committee Choices In a club with 8 men and 11 women members, how many 5 -member committees can be chosen that have the following? (a) All men (b) All women (c) 3 men and 2 women (d) No more than 3 women

Find the sum for each series. $$\sum_{i=1}^{4}\left(3 i^{3}+2 i-4\right)$$