Learn what an arithmetic sequence is and explore different examples of an arithmetic sequence. Understand how to find the sum of an arithmetic sequence. Updated: 11/21/2023 Table of Contents What is an Arithm
An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of the first nn terms of an arithmetic sequence is Sn=n(a1+an)2Sn=n(a1+an)2 How To: Given terms of an arithmetic series, find the sum of the first nn terms. Identify a1a1 and anan....
Finally, solve the sequence by calculating the nth term or sum of the sequence using those formulas. How do you find the nth term of an arithmetic sequence? The sequence's general term or nth term is calculated using the formula, an=a1+(n-1) d where a1 is the first term, d is a...
For the given arithmetic sequence, write an explicit formula for f(n). Assume the initial value ofn to be1. [Show all work.]3−c,4,5+c,6+2c,... 相关知识点: 试题来源: 解析 f(n)=2(1−c)+n(1+c)WORK SHOWN:a=3−c,d=4−(3−c)=1+c, f(n)=a+(n−1)d, f...
The recursive formula for an arithmetic sequence is:\(a_1=-8a_n=a_(n-1)+3.What is the 3rd term in the sequence?OA.-5O B. -14OC.-24O D.-2 相关知识点: 试题来源: 解析 a_1=-8 a_n=a_(n-1)+3 n=2then a_2=a_2+3 =a_1+3 =—8+3 a2=—5 n-3 then a_3=a_2+...
Answer to: The arithmetic sequence a_i is defined by the formula: a_1 = -4910 \\a_i = a_{i-1} + 8 Find the sum of the first 575 terms in the...
Fibonacci series is a sum of terms where every term is the sum of the preceding two terms, starting from 0 and 1 as the first and second terms. In some old references, the term '0' might be excluded. Understand the Fibonacci series using its formula and
An arithmetic sequence is a sequence where each term is found by adding or subtracting the same value from one term to the next. This value that is added or subtracted is called "common sum" or "common difference" If the common difference is positive, the terms of the sequence will increa...
The sum formula of the first n terms of an arithmetic sequence is Sn = n(a1 + an)/2. If in an arithmetic sequence, a1 = 1, an = 19, n = 10, then Sn is equal to _. A. 100 B. 110 C. 120 D. 130 相关知识点:
How to find the sum of the geometric sequence? We’ve just learned how to find the nth term of the geometric sequence, so it’s time for us to learn how to find the sum of a geometric series. Remember the difference between the arithmetic series and arithmetic sequence? The same reaso...