1)..the angles of a triangle form an increasing arithmetic progression what will be the middle term of this arithmetic progression.
2)..the sum of first n multiples of 3 is?
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Let the angles be A,B and C.
Given, the angle are in an A.P.
Then let A<B<C.
Let A = a
Then B = a+d
and C = a + 2d
We know that A+B+C =180
So, (a)+(a+d)+(a+2d) = 180
3a + 3d = 180
a + d = 60
Now B is the middle term and B = a + d = 60.
So middle term is 60 degree.
Given, the angle are in an A.P.
Then let A<B<C.
Let A = a
Then B = a+d
and C = a + 2d
We know that A+B+C =180
So, (a)+(a+d)+(a+2d) = 180
3a + 3d = 180
a + d = 60
Now B is the middle term and B = a + d = 60.
So middle term is 60 degree.
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