288th term of the series ... a, b, b , c, c, c, d, d, d, d ....

1) z
2) y
3) w

• it is clear from the sequence that there is 1 a ,2 b , 3 c and so on .
  we have to calculate the letter at the 288 position. this is a arithmetic sequence
  1+2+3+4+5+6+7+....... ______________(1)
  where each term represent the no of letter starting from a.
  from the formula n(n+1)/2 we come to know that 23th term of equation (1) will be the 276th term of sequence of your series that represents the letter w . hence the next letter is x which will repeat 24 times and makes the sum of sequence 300and 288 falls under the 300. hence the letter will be X
• 11 years agoHelpfull: Yes(2) No(1)