Find the 6th term from the end of the A.P. 17,14,11.....,-40.
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a=17=t1
t2= 14
d=t2 - t1
= 14 - 17
= -3
tn= -40
so first let's find n
tn = a+(n-1)d
-40=17+(n-1)(-3)
-40=17-3n+3
-40=20 - 3n
-3n= -60
n=20
so 20th term is (-40)
so 6th term from the end of the A.P. will be 14th term
so ,
t14=a+(n-1)d
=17+(13)(-3)
=17-39
= -22
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