Question

If in an AP ratio of 4th term and 9th term is 1:3 , find the ratio of 12th term and 5th term....​

Answer 1

Answer:

Refers to the attachment....

Hope it helps you mate....

Jai Siyaram Ji....

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Answer 2

Question : If in an AP ratio of 4th term and 9th term is 1:3 , find the ratio of 12th term and 5th term....​

Answer:

So a_12 : a_5 = 3 : 1

Step-by-step explanation:

$a_4:a_9=1:3$

$a_4/a_9$ = 1/3  

=> (a+3d) / (a+8d)  = 1/3

=> (a+3d)3 = (a+8d)

=> 3a+9d = a+8d

=> 2a+d = 0

=> d = -2a

$a_12/a_5$

= (a+11d) / (a+4d )

= (a+11*(-2a)) / (a+4*(-2a) )

= (a-22a) / (a-8a )

= -21a / -7a

= 21/7

= 3/1

= 3:1

$a_12/a_5$ = 3 : 1