The common difference of two ap are equal. The 1st term of an ap is 3 more than the 1st term of second ap. if the 7th term of ap is 28 and 8th term of second ap is 29 , then find both .
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Answer:
1,5,9
Explanation:
Let the first term of second AP = a
So, the first term of first AP = a + 3
7th term of first progression is 28
So, A + 6D = 28
⇒ a + 3 + 6D = 28
⇒ a + 6D = 25 … (1)
8th term of the second progression is 29
⇒ a + 7D = 29 … (2)
Solving (1) and (2), we have
D = 4 and a = 1
So, the first AP: 4, 8, 12 …
And the second AP: 1, 5, 9…
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