Find the 41st term of the AP :-2 ; 2 ; 6 ; 10 ;..... .formula is (an = a (n-1) d) .
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SOLUTION:-
The given AP is -2,2,6,10.............
its first term =-2 and common differences ={2-(-2)}=4
a= -2 and d= 4
The nth term of the AP is given by
Tn=a+(n-1)d
we have find 41st term so n=41
T41=a+(41-1)d
=a+40d
= -2+40×4 [:- a= -2 and d=4]
= -2+160
=158
Hence,41st term=158
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