Math, asked by Animeshsingh, 1 year ago

the 17th term of an ap is 5 more than twice its 8th term .if the 11th of an ap is 43, then find its nth term

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Answered by parisakura98pari
536
A/Q
a₁₇ = 5 + 2a₈                  and a₁₁ = 43

we know nth of an A.P.  =  a + (n-1) d    where  a = first term
                                                                           d = common difference of A.P
                                                 
         therefore

           a + (17  - 1) d  =  5 + 2{ a + (8 - 1 ) d} 

           a + 16 d =  5 + 2a + 14d        2d - a = 5        .......(1)


also      a + (11 - 1)d = 43              a + 10d = 43        .........(2)


solving 1 and 2 gives        12d = 48              d = 4

                     a =  3

hence nth tern would be       =  3 + (n-1)4  ans


hope this helps
Answered by khushi9944
139

Here is your answer user.

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