a,9,3a-b,3a+b are in AP the 2011th term of AP is......
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8045
Step-by-step explanation:
common difference=(3a+b-3a+b)=2b
We can say that, a+(3a-b)=2*9 therefore, 4a-b=18 ....eq1
9+(3a+b)=6a-2b therefore, a-b=3 ....eq2
From equation 1 and 2 we can say a=5,b=2
therefore the common difference=4
So, 2011th term of AP is=a+(n-1)d=5+2010*4=8045
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