The sum of the first 25 terms of the series
13+14−12−13+12−14+13+14−12−13+..... is
The correct option is D 13
13+14−12−13+12−14+13+14−12−13+12−14+....
⇒(13+14−12−13+12−14)+(13+14−12−13+12−14)+....
As we can observe, the series repeat itself after every 6th term.
Therefore, sum of the first 6 terms
⇒13+14−12−13+12−14=0
Hence, sum of first 24 terms = 0×4=4
Now, 25th term of the series will be 13
Hence, sum of first 25 terms = 0+13=13