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17 Cards in this Set
- Front
- Back
What is a? |
The first term |
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What is d? |
The common difference |
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What is the nth term? |
a+(n-1)d |
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What is one method of adding multiple terms? |
n/2 (2a+(n-1)d) |
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What is another method? |
n/2 (a+l) |
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What is l? |
The last term |
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Line 1 for proof of Sn=(n/2) (2a + (n-1) d) |
Sn=a + (a+d) + (a+2d) + ...+ (a+(n-1)d) |
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Line 2 |
Sn= (a+(n-1)d) + (a+(n-2)d) + ... + a |
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Line 3 |
Add line 1 and 2 to make 2a+(n-1)d + 2a+(n-1)d ... |
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Line 4 |
2Sn= n ( 2a+(n-1)d) |
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Line 5 |
Sn = (n/2) ( 2a+ (n-1) d) |
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Line 6 - for n/2 (a+l) only. |
Sn = (n/2) ( a+a+ (n-1) d) |
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Line 6- for n/2 (a+l) only. |
Sn= n/2 (a+l) |
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What does sigma mean? |
The sum of |
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What is the number at the bottom of sigma? |
The first term |
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What is the number at the top of sigma? |
The final term |
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What is tn? |
The equation used to find the term |