7th term of Ap is four times the third term and 12th term is 2more than three times of its fourth term then find the Ap
plzz it's very important to me plzz solve this
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Answer:
Then the AP = - 1/3, 1/6,2/3
Step-by-step explanation:
Let first term be a and common diffrence be d .
A. T. Q. ,
(a + 6d) = 4(a + 2d)
a + 6d = 4a + 8d
a - 4a = 8d - 6d
- 3a= 2d ........(1)
Also ,
(a + 11d) = 3(a + 3d) + 2
a + 11d = 3a + 9d + 2
11d - 9d = 3a - a + 2
2d = 3a + 2
From 1 ,
- 3a = 3a + 2
6a = -2
a = - 1/3
d = 1/2
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