The problems about Evaluate the Summation

Problem Solution
Evaluate the Summation sum from i=4 to 12 of -4-6i Solution: Step 1: Transform the original summation to start from $i=1$ by subtracting th…
Evaluate the Summation sum from i=4 to 12 of -6-5i Solution: Step 1: Transform the initial summation to start from $i = 1$ by subtracting the u…
Evaluate the Summation sum from i=4 to 12 of -6-7i Solution: Step 1: Transform the original summation to start from $i=1$. $\sum_{i=4}^{12…
Evaluate the Summation sum from i=4 to 8 of 3i-2 Solution: Step 1: Write out the terms of the summation for each integer value of $i$ from…
Evaluate the Summation sum from k=1 to 10 of 3k+1 Solution: Step 1 Decompose the given summation into two separate summations using the dis…
Evaluate the Summation sum from k=1 to 10 of 3k+7 Solution: Step 1 Decompose the given summation into two separate summations that are easi…
Evaluate the Summation sum from k=1 to 10 of k^3-k Solution: **Step 1:** Decompose the given summation into two separate summations that are easi…
Evaluate the Summation sum from k=1 to 10 of k+1 Solution: Step 1: Decompose the original summation into two separate summations that are…
Evaluate the Summation sum from x=0 to 1 of 2x-4 Solution: Step 1: Write out the terms of the summation Calculate the terms of the series b…
Evaluate the Summation sum from n=5 to 10 of 20-n Solution: Step 1: Transform the original summation to start from $n=1$ by decomposing it…
Evaluate the Summation sum from x=1 to infinity o… Solution: Step 1: To determine the sum of an infinite geometric series, we use the formul…
Evaluate the Summation sum from n=5 to 8 of 2x Solution: Step 1: Write out the terms of the series List each term of the summation for $n…
Evaluate the Summation sum from n=51 to 100 of 5n Solution: Step 1: Transform the original summation to start from $n=1$. $$\sum_{n=51}^{…
Evaluate the Summation sum from i=1 to 15 of 2i Solution: Step 1: Extract the constant $2$ from the summation: $2 \sum_{i = 1}^{15} i$ …
Evaluate the Summation sum from i=1 to infinity o… Solution: Step 1: To determine the sum of an infinite geometric series, use the formula …
Evaluate the Summation sum from i=1 to 10 of 5+1/… Solution: Step 1 Decompose the given summation into two separate summations that are easi…
Find dy/dx y^3-xy=-6 Solution: Step:1 Apply differentiation to both sides of the given equation with respect to…
Find dy/dx y(x^2+36)=72 Solution: Step 1 Apply differentiation to both sides of the given equation: $y(x^2 + 36) =…
Find dy/dx y=e^( cube root of x) Solution: Step 1: Transform the cube root of $x$ into a fractional exponent: $\sqrt[3]{x…
Find dy/dx y=9xarcsin(x) Solution: Step:1 Apply the differentiation operator to both sides of the given function: …