Question

if 3 times the third term of an a.P. Is equal to 5 times the fifth term. Then its 8th term is

Answer 1

Answer:

0

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