# Sums of Arithmetic Sequences

Arithmetic sequences, a fundamental concept in mathematics, lay the groundwork for understanding the sums of their terms. These sequences, characterized by a constant difference between consecutive terms, lead to the exploration of summing their elements – a process known as finding the sum of an arithmetic series. This mathematical endeavor finds application in various fields, such as finance, physics, and computer science, making it an essential topic for anyone seeking a comprehensive understanding of mathematical principles and their practical implications.

Questions

- Could you show me this recurrence question 7 ?
- What is the value of #\sum _ { k = 3} ^ { 8} ( - 2.5) ^ { k - 1}#?
- How do you find the 25th partial sum of the arithmetic sequence #75, 70, 65, 60,...#?
- Find the number of different sums that can be obtained by using one,some or all of the numbers in the set{1,2,4,8}.Then, how about from {#2^0,2^1,2^2,..,2^n#}?
- How do you find the 12th partial sum of the arithmetic sequence #4.2, 3.7, 3.2, 2.7,...#?
- What is the explicit formula for the sequence 9, 1, -7, -15?
- Find the sum of 3+7+14+27+52 +...... to n terms?
- The sum of the first n term of a series is #3-[1/3^(n-1)]#. How to obtain the expression for the #n#th term of the series, Un?
- How do you find the sum of the first 20 terms of the series #3+8+13+18+23+...#?
- How to find the first term, the common difference, and the nth term of the arithmetic sequence here? 8th term is 4; 18th term is -96
- How do you find the sum of the arithmetic sequence (x+y)+(x+2y)+...+(x+10y)?
- How do you find the sum of the arithmetic series #Sigma(5t-3)# from t=19 to 23?
- Find the sum of 2+4+6+8...+70. State if it's geometric or arithmetic?
- An arithmetic sequence has as its first three terms #a_1=a, a_2=2a, a_3=a^2#. What are the three terms?
- How to find the 1st term, the common difference, and the nth term of the arithmetic sequence described below? (1) 4th term is 11; 10th term is 29 (2) 8th term is 4; 18th term is -96
- How do you find the sum of each arithmetic series #50+44+38+...+8#?
- Any tips about the solution ??? using the Mathematical induction and thanks :)
- Find a formula for the general term ⍺n of the sequence?
- Determine the first and last terms of an arithmetic series with 50 terms, a common difference of 6, and a sum of 7850. Help?
- How do you find the sum of the arithmetic sequence given a1=76, n=21,an=176?