Doe the first n terms of the following arithmetic sequence. Evaluate the geometr

Question

Doe the first n terms of the following arithmetic sequence. Evaluate the geometric series, if it converges 8 16 ·? 10-6-4. 11) In how many ways can 7 people line up for play tickets? Write your answer as an integer in standard form, ways Gi 12) A restaurant offers 6 possible appetizers, 13 possble main courses, and 9 possible desserts. How many diéferm meals are possible at this restaurant? Write your answer as an integer in standard form. (Two meals are considered different unless all three courses are the same 13) From 7 names on a ballot, 3 will be elected to a political party committee. In how many wa ys can the commer of 3 be formed if each person will have a different responsibility? Write your answer as an integer in form. 14) How many ways can a committee of 6 be selected from a dlub with 10 members? Write your answer as an integer in standard form. 15) Evaluate 4) write your answer as an integer in standard form.

Explanation / Answer

9) a1 = - 96 , d = - 8

n = 10

sum = n/2 [ 2a1 + ( n -1 ) d ]

plugging the values

sum = 10/2 [ 2 ( -96) + ( 10 - 1 ) -8 ]

= - 1320

so, sum = - 1320

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