determine the AP whose 3rd term is 5 and the 7th term is 9?
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Given a3 = 16 and a7 – a5 = 12
a3 = a + 2d = 16
a5 = a + 4d
a7 = a + 6d
As per question;
a + 6d – a – 4d = 12
Or, 2d = 12
Or, d = 6
Then you can find ‘a' just like given below in the comment.
Similar questions
a + 2 x 12 = 16
Or, a + 24 = 16
Or, a = 16 – 24 = - 8
Thus, the AP can be given as follows:
-8, 4, 16, 28, 40, ………..