if 3 times the third term of an a.P. Is equal to 5 times the fifth term. Then its 8th term is
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Step-by-step explanation:
Let say first term of an AP = a
Let say common difference of AP = d
Third term of an AP = a + 2d
Fifth term of an AP = a + 4d
3 × Third term = 5 × Fifth Term
=> 3 × (a+2d) = 5 ×(a + 4d)
=> 3a + 6d = 5a + 20d
=> 0 = 2a + 14d
dividing by 2 both sided
=> 0 = a + 7d
=> a + 7d = 0
8th term of AP = a + 7d
from above equation
8th term = 0
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