3511264
Description
Mind Map by L. Eastman, updated more than 1 year ago
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Created by L. Eastman
about 9 years ago
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Sequences and Series
- Arithmetic Sequence
- Common Difference (d)
- Can be found by
subtracting two
consecutive
terms. Ex: U2-U1
- Can be found by
subtracting two
consecutive
terms. Ex: U2-U1
- Un=U1 + (n-1)d
- U1 can be found when the common
difference and any other term of the
sequence is given by replacing and
rearranging.
- The common difference (d) can be found
when U1 and any other term of the
sequence is given by replacing and
rearranging.
- Look for given values in question!
- U1 can be found when the common
difference and any other term of the
sequence is given by replacing and
rearranging.
- Sigma (Σ)
- Sum of...
- Sigma Notation
- Sn=n/2 (2U1 + (n-1)d)
- Can be used to find d by
replacing an rearranging.
- Look for given values in question!
- Can be used to find d by
replacing an rearranging.
- Sum of...
- Common Difference (d)
- Geometric Sequence
- Common Ratio (r)
- Can be found by
dividing two
consecutive terms. ex:
U2/U1
- Can be found by
dividing two
consecutive terms. ex:
U2/U1
- Pi (Π)
- multiplication of...
- Pi Notation
- Infinite
- S∞ = U1/ 1-r
- IrI < 1
- IrI < 1
- S∞ = U1/ 1-r
- Finite
- Sn= {U1[(r^n) - 1]}/r - 1
- r≠1
- r≠1
- Sn= {U1[(r^n) - 1]}/r - 1
- multiplication of...
- Un= U1[r^(n-1)]
- Look for given values in
question! Rearrange to find
missing values!
- Look for given values in
question! Rearrange to find
missing values!
- Common Ratio (r)
- Commutative
- Terms: U1,U2,U3...Un
- Patterns
- Sn=sum of
n terms
- State through formulas!
- By: Laura Garcia Echeverri
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