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Solving Linear Equations Using Transpose of Terms

If 3 times ...

Question

If $3$ times the third term of an A.P. is equal to $5$ times the fifth term. Then its $8$ term is

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Solution

The correct option is A $0$
$3 (a + 2 d) = 5 (a + 4 d) 3 a + 6 d = 5 a + 20 d - 2 a = 14 d a = - 7 d a = + 7 d = - 7 d + 7 d = 0$

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If five times the fifth term of an A.P. is equal to 8 times its eighth term, show that its $13^{t h}$ term is zero.

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