the 8th term of AP is zero prove that 38 term is triple of 18th term
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According to question
T8 = 0
a+7d = 0
a= - 7d............. (1)
Now,
T38 = a+37d
T38 = -7d + 37d (using equation 1)
T38 = 30d......... (2)
Now,
T18 = a+17d
T18 = - 7d +17d (using equation 1)
T18 = 10d.............(3)
On dividing Equation 1 by equation 2,we get
T38/T18 = 30d/10d
T38/T18 = 3
T38 = 3*T18
T8 = 0
a+7d = 0
a= - 7d............. (1)
Now,
T38 = a+37d
T38 = -7d + 37d (using equation 1)
T38 = 30d......... (2)
Now,
T18 = a+17d
T18 = - 7d +17d (using equation 1)
T18 = 10d.............(3)
On dividing Equation 1 by equation 2,we get
T38/T18 = 30d/10d
T38/T18 = 3
T38 = 3*T18
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