So if you want to find the nth term so
1st term=1
2nd term=5
3rd term=25
we notice that 5^1=5 and 5^2=25 , but they are on the second ones so
the expression is
the nth term=5^(n-1)
so 1st term=5^(1-1)=5^0=1
2nd term=5^(2-1)=5^1=5
3rd term=5^(3-1)=5^2=25
and so on
the expression is 5^(n-1)
The answer is right above me yw lol
This can be solved using the
angle bisector theorem. Note that line segment AD is the angle bisector of triangle DAB from angle DAB. Therefore, we know that the ratios

and

are equal. Solving, we get

. Cross multiplying, we get

, and solving this equation we get

.
10.2 is your answer.