1) determine the ap whose 3rd term is 5 and the 7th term is 9?
2) the 8th term of the ap is 37 and 12th term is 57.find the ap?
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This may help you
They didn't asked for the specific n value
so I have taken n
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Question 2.
a8= a+7d =37 - - - - - - (1)
a12= a+11d=57———(2)
From 1 and 2
a+7d=37
a+11d=57
We get,
4d=20
d=20/4
Therefore d=5
From (1)
a+7d=37
a=37–35
a=2
Therefore we have got the value of a and d
As a=2 and d=5
We know that
a=2
As, a+d=a2
2+5=7
As a+2d=a3
2+5(2)=a3
=2+10
12
Therefore ap= 2,7,12…….
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