Question

The ratio of 7to 3rd term of an Ap is 12:5 find the ratio of 13th to 4th term.

Answer 1

hello ☺

given:-

( a + 6 d ) / ( a + 2 d ) = 12 / 5

5 a + 30 d = 12a + 24 d

7 a - 6 d = 0

7 a = 6 d

a = 6 d / 7

therefore

( a + 1 2 d ) / ( a + 3 d )

= ( 6 d / 7 + 1 2 d ) / ( 6 d / 7 + 3 d)

$by \: simplifying \: this \:$

$we \: get \: 10 \: \: divided \: by \: 3$


therefore the ratio is 10 : 3