Find the nth term of Ap 9,12,15
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Answer:
3n+6
Step-by-step explanation:
Here we use an=a+(n-1)d
for fIND the nth term:
so, a=9 and d=3
so that we put the values in this formula:•
=9+(n-1)3
=9+3n-3
=3n+6
so the nth term is 3n+6
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The nth term of the A.P is 3n+6.
Given,
An arithmetic progression 9, 12, 15...
To Find,
The nth term of the A.P.
Solution,
In the given A.P
9, 12, 15,...
a = 9
d = 12-9 = 3
Now, the formula for calculating the nth term of the A.P is
aₙ = a+(n-1)d
where, a = first term = 9, d= common difference = 3
So,
aₙ = 9+(n-1)3
aₙ = 9+3n-3 = 3n+6
Hence, the nth term of the A.P is 3n+6.
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