be an A.P. of non-zero terms then M...
Question
Fullscreen

be an A.P. of non-zero terms then Mathematics - Sequence and If a,, az, az.......a, be an A.P. n-1 a as Az az An-1 an 3) -1 1-n

JEE/Engineering Exams
Maths
Solution
124
Rating
4.0 (1 ratings)
Fullscreen
( frac{1}{a_{2} a_{1}}+frac{1}{a_{2 a_{3}}}+ldots+frac{1}{a_{n+a_{n}}} ) ( =frac{1}{d}left{frac{a_{2}-a_{1}}{a_{1} a_{2}}+frac{a_{3}-a_{2}}{a_{2} a_{3}}+cdots+frac{a_{n}-a_{n-1}}{a_{n} a_{n-1}}right} ) ( =frac{1}{d}left{left(frac{1}{a_{1}}-frac{1}{a_{2}}right)+left(frac{1}{a_{2}}-frac{1}{a_{3}}right)+left(frac{1}{a_{3}}-frac{1}{a_{4}}right)+cdots+left(frac{1}{a_{n-1}} bar{a} frac{1}{a_{n}}right)right} ) ( =frac{1}{d}left{frac{1}{a_{1}}-frac{1}{a_{n}}right}=frac{1}{d}left{frac{a_{n}-a_{1}}{a_{1} a_{n}}right} ) ( =frac{1}{d}left{frac{a+(n-1) d-a}{a_{1} a_{n}}right} ) ( =frac{n-1}{a_{1} a_{n}} )
Quick and Stepwise Solutions Just click and Send Download App OVER 20 LAKH QUESTIONS ANSWERED Download App for Free