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The sequence 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, … consists of 1s separated by blocks of 2 with 'n' 2s in the nth block. The sum of the first 1234 terms of this sequence is

 
1996
2419
2429
2439
None of these

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First block : 1 Second block : 2, 1 Third block : 2, 2, 1 . . . nth block : (n-1) 2's, 1 Hence every nth block consists of n terms. So total number of terms till nth block will be sum of natural numbers till n. If n = 49, then it contains 49*50/2 = 1225 terms. out of which 49 are 1's and remaining 2's. Next, 1234-1225 = 9 terms will be 2's. Hence, out of 1234 terms, only 49 will be 1's and remaining all will be 2's. Hence, 1234(2) - 49 = 2419 is the answer.

Plz explain the concept of 49

Plz explain how 49 had came der in place of K?

Shud be 2439

49 kese aaya