1.

27. In an A.P of 51 terms, the sum of first three terms is 65and the sum of the middle three terms is 129. What isthe first term and the common difference of the series?A) 64,9/8B) 32,8/9C) 72, 9/8D) 187/9,8/9

Answer»

Answer:

D) 187/9,8/9

Step-by-step EXPLANATION:

Given a + (a + d) + (a + 2d)= 65

=> 3A + 3d =65…. (1)

The middle terms are 25th , 26th and 27th terms

=> a + 24d + a + 25d + a + 26D = 129

=> 3a + 75d

129 ….(2)

From (1) and (2)

d= 8/9 =>a= 187/9



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