in an arithmetic progression 2,7,12,17......summation of how many terms will be 990
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A.P : 2,7,12,17.............
a = 2 d = 7-2 = 5
Sn = n/2 [2a + ( n-1 ) d]
990= n/2 [ 2(2) + (n-1) 5]
1980 = n [ 4+5n-5 ]
1980 = 5n2 - n
5n2-n-1980 = 0
by factorising it you will get 2 values for n
the value which is negative should be ignored.
HOPE IT HELPS..................
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