Explanation The sequence is. 1,3,5,7,9. The common difference d is the difference between any two consecutive numbers of the series. d1 = 3 − 1 = 2. d2 = 5 − 3 = 2. d3 = 7 − 5 = 2. So the common difference d of this arithmetic sequence: d = 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?
Explanation This is the sequence of the odd positive integers where the nth term (an) is: an = (2n −1) for n ∈ N Answer link T_n = 2n -1 This is clearly an arithmetic sequence because the terms differ by 2 each time. To find the nth term rule we need: a value for the first term , a and a value for the common difference d .
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.
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