The next number in the sequence 5, 3, 1, -1, -3, -5. _____ a. -2 b. -7 c. 7 d. 1

Question

The next number in the sequence 5, 3, 1, -1, -3, -5. _____ a. -2 b. -7 c. 7 d. 1 The average value of a stock portfolio decreased by 35% from 2008 to 2009. The average value of in 2008 was $12600. Determine the average value of the stock portfolio in 2009. a. $6925 b. $17010 c. $8190 d. $11675 Which statement is a counterexample to the statement "the difference between two odd number ia an odd number? a. 10-8 = 2 b. 24-13 = 9 c. 15-10 = 5 d. 9-5 = 4 A person works 40 hours per week and earns $17.50 per hour: a. How much money can they expect to earn in one year? b. The deductions for taxes and health insurance are 26% how much will they receive in their check if they are paid every two weeks? Find the estimated cost of a dozen clams if 15 dozens clams cost $32.60. (Round to the nearest dollar) Pick any number and add 10 to it. Divide the sum by 5. Multiply the quotient by 5. Subtract 10 from the product. Then subtract your original number. a. What is the final number? b. Pick another number and try again. What is the final number? c. Can you make a conjecture about the final number?

Explanation / Answer

6) 5 , 3 , 1 , -1 , -3 , -5 ....

common difference is d = -2

applying arithmetic sequence formula

an = a1 + ( n-1 )d

a7 = 5 + ( 7-1 ) (-2)

a7 = 5 - 12 = -7

hence, next term of the sequence is -7

( option b )

7) average value in 2008 = $ 12600

it has decreased by 35%

so , it becomes 12600 - .35* 12600

= 8190

so avearge value in 2009 is $ 8190

( option c)

8) the counterexample is 9-5 = 4

since in this example the difference between two odd numbers is an even number

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