Question

Find the 20th term of the sequence if its 6th term is 14 and 14th term is 6

Answer 1

GIVEN ,

    A6 = 14

=> A + 5D = 14

=> A = 14 - 5D (i)

A14 = 6

=> A + 13D = 6

=> 14-5D + 13D = 6 ( SUBSTITUTING (i))

=>8D = -8

=>D = -1 (ii)

NOW , A = 14 -5(-1) (SUBSTITUTING (ii))

              A = 19 (iii)

THEREFORE ;

A 20 = A + 19D

           = 19 + 19(-1) (FROM (ii) AND (iii) )

              =19-19

               = 0

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