Limits as They Relate to Sequences and Series - Quiz Quiz

Question 1

Consider the sequence 3 halves comma 4 thirds comma 5 fourths comma 6 fifths comma dot dot dot Which statement describes the sequence?

Revolt · Accepted Answer

B: The sequence converges to  1 .

Question 2

Consider the sequence left divided by 1 comma negative 3 comma 9 comma negative 27 comma 81 comma point point point Which statement describes the sequence?

Revolt · Accepted Answer

B: The sequence diverges.

Question 3

Which statement describes the series? the sum from n is equal to 1 to infinity of 4

Revolt · Accepted Answer

C: The series diverges and it does not have a sum.

Question 4

Consider the series 1 eighth plus 1 over 16 plus 1 over 32 plus 1 over 64 plus 1 over 128 plus dot dot dot Which expression defines cap s sub n ?

Revolt · Accepted Answer

A: limit n to infinity of the fraction with numerator 2 to the n th power minus 1 and denominator 4 times open paren 2 to the n th power close paren

Question 5

Which statement describes the sequence defined by A sub n is equal to the fraction with numerator n squared minus 16 and denominator n cubed plus 4 ?

Revolt · Accepted Answer

B: The sequence converges to  0 .

Question 6

Which statement describes the sequence defined by A sub n is equal to the fraction with numerator n cubed minus n and denominator n squared plus 5 n ?

Revolt · Accepted Answer

D: The sequence diverges.

Question 7

Which statement describes the series? the sum from n is equal to 1 to infinity of 3 fourths

Revolt · Accepted Answer

C: The series diverges and it does not have a sum.

Question 8

Which rule defines cap s sub n for A sub n is equal to 3 times 0 point 7 to the n th power ?

Revolt · Accepted Answer

B: cap s sub n is equal to 7 times open paren 1 minus 0 point 7 to the n th power close paren

Question 9

Consider the sequence 1 comma 4 comma 16 comma 64 comma 128 comma point point point Which statement describes the sequence?

Revolt · Accepted Answer

B: The sequence diverges.

Question 10

Consider the sequence three fourths comma four fifths comma five sixths comma six sevenths comma point point point Which statement describes the sequence?

Revolt · Accepted Answer

B: The sequence converges to  1 .

Limits as They Relate to Sequences and Series - Quiz Quiz Answers

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