QuestionThe value of 1+3+5+7+9+.+25 is: A 196 B 625 C 225 D 169 Easy Solution Verified by Toppr Correct option is D) We take the first term a=1, last term l=25, common difference d=2 and the number of terms =n. Then, since it is an A.P. series, l=a+(n−1)d n= dl−a+1 = 225−1+1 = 225−1+2 = 225+1 = 226 =13 Let S n be the sum of n=13 terms Convert1/9 times 3/5 to Decimal. Here's a little bonus calculation for you to easily work out the decimal format of the fraction we calculated. All you need to do is divide the numerator by the denominator and you can convert any fraction to decimal: 3 45 = 0.0667. 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. 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. 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{ 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. Whatis the nth term of the arithmetic sequence 1,3,5,7,9,11? A n+1 B n−1 C 2n+1 D 2n−1 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+(n−1)d=1+(n−1)2=2n−1 13 5 7 9. Natural Language. Math Input. Extended Keyboard. Examples. Random. Wolfram|Alpha brings expert-level knowledge and capabilities to the broadest possible range of people—spanning all professions and education levels. 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? 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. xzFbP.