Question

The 5th and 10th term of an AP are in the ratio 1:2 and 12th term is 36 ,find the AP​

Answer 1

Answer:

Hey mate, the answer is in the attachment

Step-by-step explanation:

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Answer 2

Answer:

3, 6, 9, 12...

Step-by-step explanation:

5th term of AP is [ a + (5 - 1)d ]

10th term of AP is [ a + ( 10 - 1 )d ]

According to the question,

$\frac{a + 4d}{a + 9d} = \frac{1}{2}$

By cross multiplication.

$2a + 8d = a + 9d \\ \\ a = d$

Now, 12th term of AP

a + ( 12 - 1 )d = 36

a + 11a = 36 [ as, a = d ]

12a = 36

a = 3

So, a = 3 = d