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Precalculus Examples
Step-by-Step Examples
Precalculus
Sequences and Series
Evaluate the Summation
2
∑
x
=
2
2
x
−
4
x
∑
x
=
2
2
2
x
-
4
x
Step 1
Expand the series for each value of
x
x
.
2
2
−
4
⋅
2
2
2
-
4
⋅
2
Step 2
Simplify.
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Step 2.1
Simplify each
term
.
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Step 2.1.1
Divide
2
2
by
2
2
.
1
−
4
⋅
2
1
-
4
⋅
2
Step 2.1.2
Multiply
−
4
-
4
by
2
2
.
1
−
8
1
-
8
1
−
8
1
-
8
Step 2.2
Subtract
8
8
from
1
1
.
−
7
-
7
−
7
-
7
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⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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