Question

answer me plz fast I need it very urgent​

Answer 1

Answer:

1st AP 5, 8, 11, ...

2nd AP 5, 11, 17, ...

Step-by-step explanation:

see the attachment for full explanation

Answer 2

Let the first AP be a,a+d,a+2d,....

The second AP be a, a+D, a+2D,....

Since $\frac{d}{D}= \frac{1}{2}$    OR     D = 2d

The second AP can be rewritten as

a, a+2d, a+4d,......

First AP has a as first term and d as common difference

Second AP has a has first term and 2d as common difference

7th term of first AP is 23

i.e  $23 = a+6d$....( equation (i) )

21st term of second AP is 125

i.e  $125=a+40d$....( equation (ii) )

(ii)-(i)

$34d = 102$

$d=3$

$a = 23-6d=23-18=5$

Hence the first AP is 5, 8, 11,....

Second AP is 5, 11, 17, 23,....

HOPE THIS HELPS!!