Question

3 times the tenth term is equal to 5 times the twentieth term. Find twentieth term​

Answer 1

Step-by-step explanation:

Let a and d be the first term and the common difference of the A.P.

Given that 3a10 = 5a20

⇒3 × (a + 9d) = 5 × (a + 19d)

⇒3a + 27d = 5a + 95d

⇒ (5a + 95d) – (3a + 27d) = 0

⇒2a + 68d = 0

⇒2 (a + 34d) = 0

⇒a + 34d = 0

⇒a35 = 0

Thus, the thirty fifth term of the A.P. is zero

Answer 2

Answer:

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