Math, asked by Shatakshi96, 1 year ago

Q. Find the middle term of A.P. 6, 13, 20...216.

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Answers

Answered by drashti5
4
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Answered by nitthesh7
4
From the given AP.

a = 6    d = 13-6 = 7               (d = a₂-a₁)

Then

aₓ = a + (x-1)d

   216 = 6 + (x-1)7

(x-1)7 = 216-6

  (x-1) = 210/7

        x = 30 + 1

        x = 31st term.

Then Middle term = Median = 31+1 / 2

                                                = 32/2  =  16th term.

a₁₆ = a + (16-1)d

      = 6 + 15(7)

      = 6 + 105

      = 111
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