# CAT Quantitative Aptitude Questions | CAT Algebra - Polynomials questions

###### CAT Questions | Algebra | Polynomials - Sum of fractions
CAT Questions

The question is about Sum of fractions. A sequence in which terms are in fractions is given and we need to find out the sum of the sequence. Polynomials is a simple topic which involves a lot of basic ideas. Make sure that you a get of hold of them by solving these questions. A range of CAT questions can be asked based on this simple concept.

Question 19:What is the sum of $$frac{3}{4}\\$ + $\frac{5}{36}\\$ + $\frac{7}{144}\\$ + $\frac{9}{400}\\$ + .... + $\frac{19}{8100}\\$ = ? 1. $\frac{9}{10}\\$ 2. $\frac{11}{18}\\$ 3. $\frac{99}{100}\\$ 4. $\frac{80}{81}\\$ ## 2IIM : Best Online CAT Coaching #### 2IIM's Online CAT CoachingGet CAT Last Mile Prep Course for 799 /-CAT Online Coaching ### Video Explanation ## Best CAT Coaching in Chennai #### CAT Coaching in Chennai - CAT 2020Starts Sat, November 2nd, 2019 ### Explanatory Answer ##### Method of solving this CAT Question from CAT Algebra - Polynomials: How do we go about simplifying this sequence? $\frac{3}{2^2}\\$ + $\frac{5}{6^2}\\$ + $\frac{7}{12^2}\\$ + $\frac{9}{20^2}\\$ ... $\frac{19}{90^2}\\$ So,tn = $\frac{$2n+1$}{((n)^2(n+1)^2)}$ Now, we are back to the partial fractions approach, tn = $\frac{$2n+1$}{((n)^2(n+1)^2)}$ = $\frac{1}{$n$^2}$ - $\frac{1}{$n+1$^2}$ So, the above expression is nothing but tn =$$$frac{1}{1^2}\\$ - $\frac{1}{2^2}\\$) +$$$frac{1}{2^2}\\$ - $\frac{1}{3^2}\\$) +$$$frac{1}{3^2}\\$ - $\frac{1}{4^2}\\$) +$$$frac{1}{4^2}\\$ - $\frac{1}{5^2}\\$) ... +$$$frac{1}{9^2}\\$ - $\frac{1}{10^2}\\$) =$$$frac{1}{1^2}\\$ - $\frac{1}{10^2}\\$) = $\frac{99}{100}\\$ The question is "What is the sum of $\frac{3}{4}\\$ + $\frac{5}{36}\\$ + $\frac{7}{144}\\$ + $\frac{9}{400}\\$ + .... + $\frac{19}{8100}\\$ = ?" ##### Hence the answer is " $\frac{99}{100}\\$" Choice C is the correct answer. ###### 2IIM's Online CAT CoachingGet CAT Last Mile Prep Course for 799 /- Signup Now! ###### Already have an Account? ###### CAT Coaching in ChennaiCAT 2020Enroll at 44,000/- Next Weekend Batch Starts Sat, Nov 2nd, 2019 ###### Best CAT Coaching in ChennaiRegister Online, get Rs 4000/- off Attend a Demo Class ##### Where is 2IIM located? 2IIM Online CAT Coaching A Fermat Education Initiative, 58/16, Indira Gandhi Street, Kaveri Rangan Nagar, Saligramam, Chennai 600 093 ##### How to reach 2IIM? Phone:$91) 44 4505 8484
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