AnswersPrecalculusSummation Properties and Rules

Summation Properties and Rules — Quiz Answers

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1
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What is the value of this expression? the sum from n is equal to 12 to 73 of n

A
1 comma 891
B
2 comma 701
C
2 comma 635
D
2 comma 610
2
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Which expression is equivalent to this expression? the sum from n is equal to 1 to 50 of open paren n close paren

A
4 times open paren the fraction with numerator 50 open paren 50 plus 1 close paren open paren 2 times 50 plus 1 close paren and denominator 6 close paren plus 3 times 50
B
4 times open bracket the fraction with numerator 50 times open paren 50 plus 1 close paren and denominator 2 close bracket squared plus 3 times open paren the fraction with numerator 50 times 51 and denominator 2 close paren
C
4 times open paren the fraction with numerator 50 open paren 50 plus 1 close paren open paren 2 times 50 plus 1 close paren and denominator 6 close paren plus 3 times open paren the fraction with numerator 50 times 51 and denominator 2 close paren
D
4 times open bracket the fraction with numerator 50 times open paren 50 plus 1 close paren and denominator 2 close bracket squared plus 3 times 50
3

Which expression is equivalent to this expression? the sum from n is equal to 3 to 20 of open paren n close paren

A
the sum from n is equal to 3 to 20 of n squared plus the sum from n is equal to 3 to 20 of 1
B
the sum from n is equal to 3 to 20 of n squared plus the sum from n is equal to 3 to 20 of n
C
the sum from n is equal to 3 to 20 of n plus the sum from n is equal to 3 to 20 of n plus the sum from n is equal to 3 to 20 of 1
D
the sum from n is equal to 3 to 20 of n plus the sum from n is equal to 3 to 20 of n plus 1
4

What is the value of this expression? the sum from 3 to 13 of 12

A
12 times open paren 1 plus 2 plus 3 plus dot dot dot plus 12 plus 13 close paren is equal to 1 comma 092
B
12 times open paren 3 plus 13 close paren is equal to 192
C
12 times 3 times 12 times 13 is equal to 5 comma 616
D
12 times open paren 3 plus 4 plus 5 plus dot dot dot plus 12 plus 13 close paren is equal to 1 comma 056
5

Which expression is equivalent to this expression? the sum from n is equal to 10 to 15 of open paren n plus 3 over n close paren

A
the sum from n is equal to 10 to 15 of n plus the sum from n is equal to 10 to 15 of 3 divided by the sum from n is equal to 10 to 15 of n
B
3 over n the sum from n is equal to 10 to 15 of n
C
n the sum from n is equal to 10 to 15 of 3 over n
D
the sum from n is equal to 10 to 15 of n plus the sum from n is equal to 10 to 15 of 3 over n
6

Which expression is equivalent to this expression? the sum from n is equal to 1 to 35 of n

A
the fraction with numerator 35 times open paren 35 minus 1 close paren and denominator 2
B
the fraction with numerator 35 times open paren 35 plus 1 close paren and denominator 2
C
the fraction with numerator 35 open paren 35 plus 1 close paren open paren 2 point 3 5 plus 1 close paren and denominator 6
D
open bracket the fraction with numerator 35 times open paren 35 plus 1 close paren and denominator 2 close bracket squared
7

Which of the following represents this expression? the sum from n is equal to 1 to 104 of 6

A
open paren 1 times 6 close paren plus open paren 104 times 6 close paren is equal to 630
B
6 times 104 is equal to 624
C
open paren 1 times 6 close paren times open paren 104 times 6 close paren is equal to 3 comma 744
D
6 times open paren 104 minus 1 close paren is equal to 618
8

Which of the following represents this expression? the sum from n is equal to 1 to 104 of 6

A
6 times 104 is equal to 624
B
open paren 1 times 6 close paren plus open paren 104 times 6 close paren is equal to 630
C
6 times open paren 104 minus 1 close paren is equal to 618
D
open paren 1 times 6 close paren times open paren 104 times 6 close paren is equal to 3 comma 744
9

Which of the following shows one way to simplify this expression? the sum from n is equal to 1 to 43 of open paren 3 plus 9 close paren

A
the sum from n is equal to 1 to 43 of open paren 3 plus 9 close paren 3 the sum from n is equal to 1 to 43 of 9 27 the sum from n is equal to 1 to 43 of n
B
the sum from n is equal to 1 to 43 of open paren 3 plus 9 close paren the sum from n is equal to 1 to 43 of 3 3 the sum from n is equal to 1 to 43 of open paren 1 plus 3 close paren 3 the sum from n is equal to 1 to 43 of 1 plus the sum from n is equal to 1 to 43 of 3 3 the sum from n is equal to 1 to 43 of 1 plus 3
C
the sum from n is equal to 1 to 43 of open paren 3 plus 9 close paren the sum from n is equal to 1 to 43 of 3 plus the sum from n is equal to 1 to 43 of 9 the sum from n is equal to 1 to 43 of 3 plus 9
D
the sum from n is equal to 1 to 43 of open paren 3 plus 9 close paren the sum from n is equal to 1 to 43 of 3 plus the sum from n is equal to 1 to 43 of 9 the sum from n is equal to 1 to 43 of 3 plus the sum from n is equal to 1 to 43 of 9 plus the sum from n is equal to 1 to 43 of n
10

Which expression is equivalent to this expression? the sum from n is equal to 1 to 35 of n

A
the fraction with numerator 35 times open paren 35 minus 1 close paren and denominator 2
B
open bracket the fraction with numerator 35 times open paren 35 plus 1 close paren and denominator 2 close bracket squared
C
the fraction with numerator 35 times open paren 35 plus 1 close paren and denominator 2
D
the fraction with numerator 35 open paren 35 plus 1 close paren open paren 2 point 3 5 plus 1 close paren and denominator 6

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