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Evaluate the Summation sum from x=1 to 5 of 4^(x-…
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Solution:
Step 1:
Write out the terms of the series for each integer value of \( x \) fr… |
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Evaluate the Summation sum from x=1 to 420 of 10x…
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Solution:
Step:1
Decompose the given summation into two separate summations by distributing t… |
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Evaluate the Summation sum from x=0 to 2 of 2x+2
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Solution:
Step 1:
Write out the terms of the summation for each value of \( x \) within … |
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Evaluate the Summation sum from i=4 to 12 of -8-7i
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Solution:
Step 1:
Decompose the given summation to start from $i=1$.
$$\sum_{i=4}^{12} … |
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Evaluate the Summation sum from i=1 to 6 of 3i^3
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Solution:
Step 1:
Extract the constant $3$ from the summation: $3 \sum_{i = 1}^{6} i^{3}… |
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Evaluate the Summation sum from i=1 to 5 of 5i-2
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Solution:
Step 1: Expand the Summation
Write out each term of the summation by substitutin… |
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Evaluate the Summation sum from i=1 to 5 of (1/5)…
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Solution:
Step 1: Write out the terms of the series.
Calculate each term by raising $\frac{1… |
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Find dy/dx y = square root of 3-x
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Solution:
Step:1
Convert $\sqrt{3 - x}$ to exponential form using the rule $\sqrt[n]{a^{x}… |
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Evaluate the Summation sum from i=1 to 60 of -4i
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Solution:
Step 1:
Extract the constant $-4$ from the summation expression: $-4 \sum_{i=1… |
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Evaluate the Summation sum from i=1 to 4 of i(i-2)
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Solution:
Step:1
Decompose the given summation expression.
Step:1.1
Utilize the dis… |
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Evaluate the Summation sum from i=1 to 6 of 7i-2
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Solution:
Step 1:
Decompose the given summation into two separate summations that are ea… |
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Evaluate the Summation sum from k=1 to 5 of 3(1/5…
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Solution:
Step:1
Write out the terms of the summation for each value of \( k \) from 1 to 5.
… |
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Evaluate the Summation sum from k=1 to 4 of (-3/5…
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Solution:
Step 1: Write out the series
Write out the terms of the series for each value of $k… |
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Evaluate the Summation sum from k=1 to 40 of -2k+8
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Solution:
Step:1
Decompose the given summation into two separate summations using the prop… |
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Evaluate the Summation sum from k=1 to infinity o…
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Solution:
Step 1:
To determine the sum of an infinite geometric series, use the sum form… |
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Evaluate the Summation sum from i=1 to n of (5+2i…
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Solution:
Step 1
Transform $(5 + 2i)^2$ into $(5 + 2i)(5 + 2i)$.
Step 2
Use the FOIL … |
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Evaluate the Summation sum from k=1 to 3 of k
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Solution:
Step 1:
Write out the terms of the series when $k$ takes on each value from 1 … |
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Evaluate the Summation sum from k=1 to 42 of k
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Solution:
**Step 1:**
Apply the arithmetic series sum formula: $\sum_{k = 1}^{n} k = \frac{n(n… |
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Evaluate the Summation sum from k=1 to 3 of (1/2)…
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Solution:
Step 1: Write out the summation terms
Calculate the value of the series by subs… |
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Evaluate the Summation sum from i=1 to 60 of 2i
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Solution:
Step 1:
Extract the constant $2$ from the summation: $2 \sum_{i = 1}^{60} i$
… |