**Arithmetic Sequences on Educational Platform**---### Problem Statement:**Find the sum of the indicated number of terms of the arithmetic sequence.****Sequence:** 34, 29, 24, ...**Number of terms:** \( n = 21 \)---**Solution:**To solve this problem, let's use the formula for the sum of the first \( n \) terms of an arithmetic sequence:\[ S_n = \frac{n}{2} (2a + (n-1)d) \]Where:- \( S_n \) is the sum of the first \( n \) terms.- \( n \) is the number of terms.- \( a \) is the first term.- \( d \) is the common difference between the terms.Given:- \( a = 34 \)- \( d = 29 - 34 = -5 \)- \( n = 21 \)Now let's substitute these values into the formula:\[ S_{21} = \frac{21}{2} [2(34) + (21 - 1)(-5)] \]\[ S_{21} = \frac{21}{2} [68 + 20(-5)] \]\[ S_{21} = \frac{21}{2} [68 - 100] \]\[ S_{21} = \frac{21}{2} [-32] \]\[ S_{21} = 21 \times -16 \]\[ S_{21} = -336 \]So, the sum of the first 21 terms of the arithmetic sequence is **-336**.### Graphical Representation:The provided image does not include any graphs or diagrams, and hence, no graphical representation accompanies this problem on the educational platform.

Name: **Arithmetic Sequences on Educational Platform**---### Problem Statem
Uploaded: 2024-03-20T06:38:58.000Z
Channel: Bartleby
Description: **Arithmetic Sequences on Educational Platform**---### Problem Statement:**Find the sum of the indicated number of terms of the arithmetic sequence.****Sequence:** 34, 29, 24, ...**Number of terms:** \( n = 21 \)---**Solution:**To solve this problem