Use the approach in Gauss's Problem to find the following sums of arithmetic sequences. A. 1+2+3+4+...+1001 ### Arithmetic Series Sums Using Gauss's ApproachGauss's approach to summing arithmetic series involves recognizing patterns in the sequences and applying a formula for efficiency. #### Problem 1.1.A-1Use the approach in Gauss's **Problem** to find the following sums of arithmetic sequences:#### Questions:**a.** \(1 + 2 + 3 + 4 + \ldots + 1001\) **b.** \(1 + 3 + 5 + 7 + \ldots + 103\) **c.** \(8 + 17 + 26 + 35 + \ldots + 890\) **d.** \(293 + 290 + 287 + 284 + \ldots + 2\) #### Example Solution:**a. The sum of the sequence is** \[ \boxed{} \]### Instructions:1. Enter your answer in the answer box and then click **Check Answer**.### Assessment:You have **3 parts** remaining to complete.Utilize the concepts of arithmetic sums, identify common differences, first and last terms of the sequences, and apply the formula for the sum of an arithmetic series:\[ S_n = \frac{n}{2} \times (a + l) \]where:- \( S_n \) is the sum of the arithmetic series,- \( n \) is the number of terms,- \( a \) is the first term,- \( l \) is the last term.You are encouraged to solve each part step-by-step and verify your results.Good luck!

Name: Use the approach in Gauss's Problem to find the following sums of arit
Uploaded: 2024-03-20T06:38:58.000Z
Channel: Bartleby
Description: Use the approach in Gauss's Problem to find the following sums of arithmetic sequences. A. 1+2+3+4+...+1001 ### Arithmetic Series Sums Using Gauss's ApproachGauss's approach to summing arithmetic series involves recognizing patterns in the sequences