28. If the sixth term of an AP is zero then show that its 33rd term is

1.	28. If the sixth term of an AP is zero then show that its 33rd term is threeCBSE 2017]times its 15th term.29. The 4th term of an AP is 11. The sum of the 5th and 7th terms of this APICBSE 2015]is 34. Find its common difference.
Answer» For question 28.a + 5d =0a=-5d (1)now LHS,a + 32 d = (32 - 5) d from (1)= 27dRHS,3(a + 14 d) = (14d - 5d) 3 = 9 x 3 d= 27d LHS = RHSHence proved.

28. If the sixth term of an AP is zero then show that its 33rd term is threeCBSE 2017]times its 15th term.29. The 4th term of an AP is 11. The sum of the 5th and 7th terms of this APICBSE 2015]is 34. Find its common difference.

Answer»

For question 28.a + 5d =0a=-5d (1)now LHS,a + 32 d = (32 - 5) d from (1)= 27dRHS,3(a + 14 d) = (14d - 5d) 3 = 9 x 3 d= 27d

LHS = RHSHence proved.