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Determine the A.P. whose their term is 16 and the difference of 5th term from 7th term is 12.

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Determine the A.P. whose their term is 16 and the difference of 5th term from 7th term is 12.

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Given : a3 = a + (3 - 1) d = a + 2d = 16 .....(i)

a7 - a5 = 12 ....(ii)

(a + 6d) - (a + 4d) = 12

a + 6d - a - 4d = 12     2d = 12

d = 6 

Put d = 6 in equation (i)

a = 16 – 12 

a = 4 

So, A.P. is 4, 10, 16, 22, 28, ......

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