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17 Cards in this Set

  • Front
  • Back

What is a?

The first term

What is d?

The common difference

What is the nth term?

a+(n-1)d

What is one method of adding multiple terms?

n/2 (2a+(n-1)d)

What is another method?

n/2 (a+l)

What is l?

The last term

Line 1 for proof of Sn=(n/2) (2a + (n-1) d)

Sn=a + (a+d) + (a+2d) + ...+ (a+(n-1)d)

Line 2

Sn= (a+(n-1)d) + (a+(n-2)d) + ... + a

Line 3

Add line 1 and 2 to make


2a+(n-1)d + 2a+(n-1)d ...

Line 4

2Sn= n ( 2a+(n-1)d)

Line 5

Sn = (n/2) ( 2a+ (n-1) d)

Line 6 - for n/2 (a+l) only.

Sn = (n/2) ( a+a+ (n-1) d)

Line 6- for n/2 (a+l) only.

Sn= n/2 (a+l)

What does sigma mean?

The sum of

What is the number at the bottom of sigma?

The first term

What is the number at the top of sigma?

The final term

What is tn?

The equation used to find the term