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5th term of an A.P is 9 and the 8th term is 27 find the 6th term and common difference only
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Between the 5th and the 8th terms of any AP, there are 3 gaps of the equal size on the number line; each gap represents 
the common difference.
THEREFORE, the common difference of the given AP is  d = 
 = 
 = 6.
HENCE, the 6th term of the AP is  9+6 = 15.
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