Question

The 260th term of the series a,b,b,c,c,c,d,d,d,d,e,e,e,e,e,f,f,f,f,f,f,….Is:

Answer 1

w is the 260th term of the series.

Answer 2

Given ,

First term = a

third term = b

sixth term = c

We  see that Each alphabet repeats for the number of times its position in the English Alphabet ,

This series will come to end at z repeating itself for 26 times .

Last term z will be $\frac{26 \times 27 }{2}$ = 350 th term .

We can say that ,

N th alphabet will  be existing from Σ(n-1)+1 to ΣN

ΣN ≥ 260

Let n = 23

Σ(n-1) +1 = 254

Σn = 276

Therefore , 23rd Alphabet will exist from 254 to 276 terms .

23rd Alphabet is W

The 26 th term of the series is W