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. nthterm of the sequence 1,2,3,5,7,9 what will be the formula for finding the nth term of a series in which the difference between the terms increase by 1 after every k elements. For example (for k = 3) : 1,2,3,5,7,9,12,15,18.. 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. Themean of 1, 3, 5, 7, 9, 11, 13 is 7. We can easily solve this problem by following the given steps. Mean of the given data = 1+3+5+6+9+11+13/7 ( The total number of observations here is 7. Step-by-step explanation: Mean of 3,5,7,9,11,13,15. No. of data =7. ∴Mean= 7. 3+5+7+9+11+13+15 = 7. 63 =9. Arithmetic mean (AM) 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 . Stepby-step explanation: this is a sequence of odd numbers. it goes; 1,3,5,7,9,11,13,15,17,19,21,23. arrow right. Themean of 1, 3, 5, 7, 9, 11, 13 is 7. We can easily solve this problem by following the given steps. Now, we know. Mean = Sum of all observations/total number of observations. Mean of the given data = 1+3+5+6+9+11+13/7 ( The total number of observations here is 7. FractionCalculator Step 1: Enter the fraction you want to simplify. The Fraction Calculator will reduce a fraction to its simplest form. You can also add, subtract, multiply, and divide fractions, as well as, convert to a decimal and work with mixed numbers and reciprocals. We also offer step by step solutions. Step 2: MiqAnej.