AnswersPrecalculusArithmetic Series

Arithmetic Series — Quiz Answers

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An arithmetic series contains 20 numbers. The first number is 102 The last number is 159 Which expression represents the sum of the series?

A
20 times open paren the fraction with numerator 159 minus 102 and denominator 2 close paren
B
20 times open paren 102 plus 159 close paren
C
20 times open paren 159 minus 102 close paren
D
20 times open paren the fraction with numerator 102 plus 159 and denominator 2 close paren
3

Which of the following represents the value of the series? cap s sub 28 is equal to the sum from k is equal to 1 to 28 of open paren 9 minus 4 close paren

A
cap s sub 28 is equal to 28 times open paren the fraction with numerator 248 minus 5 and denominator 2 close paren
B
cap s sub 28 is equal to open paren 9 times 28 minus 4 close paren plus open paren 9 times 1 minus 4 close paren
C
cap s sub 28 is equal to 28 times open paren 5 plus 248 close paren
D
cap s sub 28 is equal to 28 times open paren the fraction with numerator 5 plus 248 and denominator 2 close paren
5

Which of the following represents the sum of the series? cap s sub n is equal to the sum from k is equal to 1 to 7 of open bracket 1 plus open paren k minus 1 close paren close bracket

A
the sum of the 7 numbers beginning with 2
B
the sum of the first 7 odd numbers
C
the sum of the first 7 even numbers
D
the sum of the 7 numbers beginning with 1
6

Which expression represents the value of the series? 3 plus 7 plus 11 plus 15 plus dot dot dot plus 1 comma 671

A
the sum from n is equal to 1 to 418 of open bracket 3 plus open paren n minus 1 close paren close bracket
B
the sum from n is equal to 1 to 417 of the 1 by 1 row matrix column 1 3 plus open paren n minus 1 close paren
C
the sum from n is equal to 1 to 416 of open bracket 3 plus open paren n minus 1 close paren close bracket
D
the sum from n is equal to 1 to 417 of open bracket 3 plus open paren n plus 1 close paren close bracket
7

The sum of an 84 -number series is negative 7 comma 980 What is the sum of the first and last numbers?

A
negative 190 point 0
B
negative 47 point 5
C
negative 95 point 0
D
negative 380 point 0
8

Which of the following represents the sum of the series? 4 plus 7 plus 10 plus 13 plus 16 plus 19 plus 22 plus 25 plus 28 plus 31 plus 34 plus 37 plus 40

A
40 is equal to 4 plus open paren n minus 1 close paren times 3
B
4 times open paren the fraction with numerator 13 plus 40 and denominator 2 close paren
C
13 times open paren the fraction with numerator 4 plus 40 and denominator 2 close paren
D
40 is equal to 3 plus open paren n minus 1 close paren times 4
9

What is the sum of the numbers in the series? 15 plus 11 plus 7 plus dot dot dot plus negative 129

A
negative 2 comma 109
B
negative 2 comma 124
C
negative 2 comma 052
D
negative 1 comma 995
10

Which of the following represents the sum of the series? 4 plus 7 plus 10 plus 13 plus 16 plus 19 plus 22 plus 25 plus 28 plus 31 plus 34 plus 37 plus 40

A
13 times open paren the fraction with numerator 4 plus 40 and denominator 2 close paren
B
4 times open paren the fraction with numerator 13 plus 40 and denominator 2 close paren
C
40 is equal to 3 plus open paren n minus 1 close paren times 4
D
40 is equal to 4 plus open paren n minus 1 close paren times 3

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