Find the first term and common difference of the AP=-25,-20,-15.
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The 7 term is the first negative term.
In the given question,
We can conclude that the first term
a = 25
And the common difference(d)
d = 20-25
d = -5
For finding the A.P:-
We can use the formula
An = a+(n-1)d
As we know:-
for the first negative term it should be less than 0.
So the required equation will be:
=a+(n-1)d<0
=25+(n-1)*(-5)<0
=(n-1)*(-5)<-25
=(n-1)>5
=n>6
Therefore:-
The first negative term is it's 7th term.
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