3 times the tenth term is equal to 5 times the twentieth term . find the twentieth term.
Dear Student
If the question is 3 times the tenth term is equal to 5 times the twentieth term, find the twentieth thirty fifth term then the answer is as follows:
Let a and d be the first term and the common difference of the A.P.
Given that 3a10 = 5a20
⇒3a + 27d = 5a + 95d
⇒ (5a + 95d) – (3a + 27d) = 0
⇒ (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
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