Which term of ap -7,-12,-17...Will be -82 is -100 any term of the ap?
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Answer:
16th term is --82
19.6th term is --100
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Answer:
AP=-7,-12,-17....
an=-82
a=-7
d=-12-(-7)
=-12+7
=-5
n=?
an=a+(n-1)d
-82=-7+(n-1)(-5)
-82+7=(n-1)(-5)
-75/(-5)=(n-1)
15=n-1
n-1=15
n=15+1
n=16
therefore -82 is 16th term of an given AP
to see whether -100 is any term of an AP
an=-100
a=-7
d=-5
n=?
an=a+(n-1)d
-100=-7+(n-1)(-5)
-100+7=(n-1)(-5)
-93=(n-1)(-5)
-93/(-5)=n-1
as the decision is not possible -100 is not any term of an AP.
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