A man starts repaying a loan as first instalment of Rs. 100. If he increases the instalment by Rs.5 every month, what amount will he pay in the 30^th instalment.

29

If (aⁿ + bⁿ)/(a^n-1 + b^n-1) is the A.M. between a and b, then find the value of n.

30

Between 1 and 31, m arithmetic means have been inserted in such a way that the ratio of the 7^th  and (m - 1)^th means is 5:9. Find the value of m.

32

The difference between any two consecutive interior angles of a polygon is 5⁰. If the smallest angle is 120⁰, find the number of the sides of the polygon.

33

Find the 20^th and nth terms of the G.P.