If the sum of the first 15 terms of the series 3+7+14+24+37+.......is 15K, then k is equal to :
126
122
81
119
Use
Summation of series of natural numbers -
- wherein
Sum of first n natural numbers
and
Summation of series of natural numbers -
- wherein
Sum of squares of first n natural numbers
3+7+14+24+37 ----------15K
Let Tn=an2+bn+c because difference is in A.P: [4,7,10,13-----------------]
at n=1 ------(i)
n=2 -------(ii)
n=3 -------(iii)
(ii)-(i) -------- (iv)
(iii)-(ii) -------- (v)
(v)-(iv)
from (i)
from (ii)
Put n=15
Option 1)
126
This option is incorrect
Option 2)
122
This option is correct
Option 3)
81
This option is incorrect
Option 4)
119
This option is incorrect
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