11 , 3 3 , 5 5 , 7 7. This is an arithmetic sequence since there is a common difference between each term. In this case, adding 2 2 to the previous term in the sequence gives the next term. In other words, an = a1 +d(n−1) a n = a 1 + d ( n - 1). Arithmetic Sequence: d = 2 d = 2. SolutionGiven: 1, 3, 5, 7, 9, 11 Note: 1+2= 3 3+2= 5 5+2= 7 7+2= 9 9+2= 11 Thus, every successive number is formed by adding 2 to the previous number. ∴ The next number can be obtained by adding 2 to the last given number, which is 11. ∴ Next number = 11 + 2 = 13 Suggest Corrections 0 Similar questions Q. Numberof subsets of A = {1,2,3,,8,9} such that the maximum is in B = {1,3,5,7,9} The answer that you've gotten can't possibly be correct; after all, there are only 29 = 512 TOTAL subsets of {1,2,,9}. So, there's some definite over-counting happening here. 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? 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{ ik5H3.

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