find the nth term of the sequence 8,3,-2,-7
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Find nth term of theA.P 13,8,3,−2,.....
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Given A.P is
13,8,3,−2,.....
first term of this A.P is a
1
=13
second term of this A.P is a
2
=8
common difference of an A.P is given by
(i.e.,d=a
n+1
−a
n
)
putting n=1 in above equation
d=a
2
−a
1
=8−13=−5
hence common difference for this A.P is d=−5
the nth term of an A.P is given by.
a
n
=a
1
+(n−1)d
⟹a
n
=13+(n−1)(−5)
⟹a
n
=13−5n+5
⟹a
n
=18−5n
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