Determinethe sum of the following arithmetic series. 2/3 + 5/3 + 8/3 + + 41/3 Find a formula for the nth term of the following sequence. 1, - \frac{1}{4}, \frac{1}{9}, - \frac{1}{16}, \frac{1}{25}, \cdots (a) a_n = \frac{(-1)^n}{n^2} (b) a_n = \frac{(-1)^{2n + 1{n^2} (c) a_n = \frac{(-1)^{n + 1{n^2} (d) a_n = \frac{(-1)^{n^2{Eachnumber in the series, and any combination of those numbers is a subset of 1,3,5,7,9. To be more clear, 1 is a subset, so are 3,5,7 or 9. 1&3 are also a subset, so are 5&7 and 7&9. all of the numbers less any one of the numbers is also a subset. so 1,3,5,& & are a subset. as is 3,5,7&9. get it?
3- 1 = 5 - 3 = 7 - 5 = 9 - 7 = +2 Since every preceding term is 2 more than the previous term. Thus, the required variance of this given data 1, 3, 5, 7, and 9 is +2. Learn more about arithmetic here: #SPJ2
Whatis the nth term of the arithmetic sequence 1,3,5,7,9,11? A n+1 B nā1 C 2n+1 D 2nā1 Easy Solution Verified by Toppr Correct option is D) Clearly, the difference of successive terms of above sequence is constant which is 2 So given sequence is in AP with first term 1 and common difference 2 Hence general term is, a n=a+(nā1)d=1+(nā1)2=2nā1
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