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Algebra II / Mr. Hansen |
Name:
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Check for Understanding: Chapter 11
A calculator is required. This quiz will not be
graded, but I want everyone to take it for educational and diagnostic purposes.
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1. |
Match each formula to its
purpose and fill in the blanks. |
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t1 + (n – 1)d |
nth term
of an ________ ________ |
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t1(1 – rn – 1)/(1 – r) |
nth term
of a ________ ________ |
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t1rn – 1 |
nth
partial sum of an ________ ________ |
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n((t1 + tn)/2) |
nth
partial sum of a ________ ________ |
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t1/(1 – r) |
infinite sum of a
________ ________ where _______ |
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t1(1 – rn)/(1 – r) |
nothing |
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2. |
Add up this series: 3 – 3/2
+ 3/4 – 3/8 + 3/16 – 3/32 + . . . |
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3. |
What term number is –3/2048
in #2? |
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4. |
Compute the sum of the 43rd
through 59th terms of the series in #2. |
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5. |
Prove that the sum of a
finite arithmetic series of n terms
equals n/2 times the sum of the
first and last terms. |
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