1.

The sum fo 4th and 8th term =22and the product of 2nd and 6th term =33.Find AP?​

Answer»

GIVEN,

☛ sum of 4th term and 8th term = 22

==> a + 3d + a + 7d = 22

==> 2a + 10d = 22

==> a + 5D = 11 ...(1), ALSO, It is the 6th term)

Also,

☛ product of 2nd term and 6th term = 33

==> ( a + 5d ) * (a + d) = 33

==> 11(a + d) = 33

==> a + d = 3

==> d = 3 - a ...(2)

PUTTING d = 3 - a in (1)

==> a + 5(3 - a) = 11

==> a + 15 - 5a = 11

==> -4a = -4

==> a = 1 ...(3)

Putting a = 1 in (2)

==> d = 3 - a

==> d = 3 - 1

==> d = 2 ...(4)

A.P = a , a + d, a + 2d, a + 3d, ...

A.P = 1 , 3, 5, 7, 9, ...


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