AnswersPrecalculusSummation Notation

Summation Notation — Quiz Answers

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Food costs are expected to rise 6 percent each month for the next year. Which series correctly depicts the cost (to the nearest cent) for the next three months if the current cost is 150 dollars per month?

A
159 point 0 0 dollars plus 168 point 0 0 dollars plus 177 point 0 0 dollars
B
150 point 0 0 dollars plus 159 point 0 0 dollars plus 168 point 5 4 dollars
C
159 point 0 0 dollars plus 168 point 5 4 dollars plus 178 point 6 5 dollars
D
150 point 0 0 dollars plus 159 point 0 0 dollars plus 168 point 0 0 dollars
7

Derrick’s parents are finalizing a budget for his college expenses. His first year of college will cost 8 dollars comma 000 , and his expenses will increase by 12 percent each year. Which statement is correct regarding the amount they should budget for Derrick’s four-year college education, to the nearest dollar?

A
They should use the sum from n is equal to 0 to 3 of open paren 1 comma 200 plus 8 comma 000 close paren to find that 39 dollars comma 200 is needed.
B
They should use the sum from n is equal to 0 to 3 of 1 point 1 2 to the n th power to find that 38 dollars comma 235 is needed.
C
They should use the sum from n is equal to 1 to 4 of 1 point 1 2 to the n th power to find that 42 dollars comma 823 is needed.
D
They should use the sum from n is equal to 0 to 3 of open paren 12 plus 8 comma 000 close paren to find that 32 dollars comma 072 is needed.
8

Which of the following is the correct expanded form for the series? the sum from n is equal to 1 to 4 of open paren 3 plus 7 close paren

A
3 plus 3 squared plus 3 cubed plus 3 to the 4th power plus 7
B
open paren 3 times 1 close paren plus open paren 3 times 2 close paren plus open paren 3 times 3 close paren plus open paren 3 times 4 close paren
C
open paren 3 times 1 plus 7 close paren plus open paren 3 times 2 plus 7 close paren plus open paren 3 times 3 plus 7 close paren plus open paren 3 times 4 plus 7 close paren
D
open paren 7 plus 1 close paren plus open paren 7 plus 2 close paren plus open paren 7 plus 3 close paren plus open paren 7 plus 4 close paren
10

Becky is offered the two deals. Deal 1 : She will get a quarter on the first day of the week. Each day thereafter for one week, she will receive double what she received on the previous day. Deal 2 : She will get 4 dollars each day for 1 week. Which statement is true in every aspect regarding these two deals?

A
She should go with deal 1 because the sum from n is equal to 0 to 6 of 0 point 2 5 is greater than the sum from n is equal to 1 to 7 of 4 by 3 point 7 5 dollars .
B
She should go with deal 2 because the sum from n is equal to 1 to 7 of 4 is greater than the sum from n is equal to 1 to 7 of 0 point 2 5 by 48 point 5 0 dollars .
C
She should go with deal 2 because the sum from n is equal to 1 to 7 of 4 is greater than the sum from n is equal to 1 to 7 of 2 by 27 point 3 3 dollars .
D
She should go with deal 1 because the sum from n is equal to 1 to 7 of 0 point 2 5 is greater than the sum from n is equal to 1 to 7 of 4 by 35 point 5 0 dollars .

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