Consider a sequence of number a_{1}, a_{2}, a_{3} . . ., a_{n} \;\; where \;\; a_{n}=\;{1}/{n}-\;{1}/{n+2}, for each integer n0 . What is the sum of the first 50 terms?

Question

Consider a sequence of number a_{1}, a_{2}, a_{3} . . ., a_{n}  \;\;  where  \;\;  a_{n}=\;{1}/{n}-\;{1}/{n+2}, for each integer n>0 . What is the sum of the first 50 terms?

Examsnet · Accepted Answer

Correct Answer is :  (1+‌12)−(‌151+‌152)

GATE Civil Engineering (CE) 2018 Shift 1 Solved Paper