A level Maths year 1 - equations for sequences

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Nth term of an arithmetic sequence
Un = a + (n-1)d
a = the first term
d = the common difference
1 of 5
Sum of the first N terms of an arithmetic sequence
Sn = o.5 x n x (a +l)
Sn = 0.5 x n x [2a + (n-1)d]
a = first term
l = last term
d = common difference
n = number of terms
2 of 5
Nth term of a geometric sequence
Un = ar^n-1
a = first term
r = common ratio
3 of 5
Sum of the first N terms of a geometric sequence
Sn = a(r^n - 1)/ r-1
Sn = a(1 - r^n)/ 1-r
a = first term
r = common ratio
n = number of terms
4 of 5
Sum to infinity of a geometric sequence
S = a/ 1-r
a = first term
r = common ratio
5 of 5

Other cards in this set

Card 2

Front

Sn = o.5 x n x (a +l)
Sn = 0.5 x n x [2a + (n-1)d]
a = first term
l = last term
d = common difference
n = number of terms

Back

Sum of the first N terms of an arithmetic sequence

Card 3

Front

Un = ar^n-1
a = first term
r = common ratio

Back

Preview of the back of card 3

Card 4

Front

Sn = a(r^n - 1)/ r-1
Sn = a(1 - r^n)/ 1-r
a = first term
r = common ratio
n = number of terms

Back

Preview of the back of card 4

Card 5

Front

S = a/ 1-r
a = first term
r = common ratio

Back

Preview of the back of card 5

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