if the end term of the AP 9, 7, 5, . is same as the nth term of the AP 15, 12, 9 find n
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Answered by
6
D=7-9=-2
An=a+(n-1)d
=15+(n-1)-2
=15-2n+2
2n=17
n=17/2
n=8.5 ans..
An=a+(n-1)d
=15+(n-1)-2
=15-2n+2
2n=17
n=17/2
n=8.5 ans..
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Answered by
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ap1:9,7,5,........... ap2:15,12,9,............
a=9 d=(-2) & a=15 d=(-3)
an=9+(n-1)(-2)
=9-2n+2 ........ (eq.1)
&an=15+(n-1)(-3)
=15-3n+3 .........(eq.2)
A.T.Q,
9-2n+2=15-3n+3
9+2-15-3=-3n+2n
-7 =-n
so, n = 7 answer
Puting n=7 in (eq.1),we get
=9-2n+2
=9-2(7)+2
=9-14+2
=11-14 = -3
Therefore, anth term of both the aps is -3 it can also be a answer
a=9 d=(-2) & a=15 d=(-3)
an=9+(n-1)(-2)
=9-2n+2 ........ (eq.1)
&an=15+(n-1)(-3)
=15-3n+3 .........(eq.2)
A.T.Q,
9-2n+2=15-3n+3
9+2-15-3=-3n+2n
-7 =-n
so, n = 7 answer
Puting n=7 in (eq.1),we get
=9-2n+2
=9-2(7)+2
=9-14+2
=11-14 = -3
Therefore, anth term of both the aps is -3 it can also be a answer
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