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4. Which term of the AP: 3, s, 13, 1S,.. is 78?cont

Answer»

a (first term of A.P.) = 3d (common difference) = 8-3 = 5Let the nthterm of A.P. be an.an(nthterm of an A.P.) = 78an= a + ( n - 1 ) d78 = 3 + ( n - 1 ) 578 - 3 = ( n - 1 ) 575 = ( n - 1 ) 575 / 5 = ( n - 1 )n - 1 = 15n = 15 + 1n = 16Therefore 16thterm of the given A.P. is 78.

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