Question 15 Marks
If $\frac{1 \times 3+2 \times 5+3 \times 7+\ldots \text { upto } n \text { terms }}{1^3+2^3+3^3+\ldots \text { upto } n \text { terms }}=\frac{5}{9}$, find the value of $n$.
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Question 25 Marks
Find two numbers whose A.M. exceeds their G.M. by $\frac{1}{2}$ and their H.M. by $\frac{25}{26}$.
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The midpoints of the sides of a square of side 1 are joined to form a new square. This procedure is repeated indefinitely. Find the sum of
1. the areas of all the squares.
2. the perimeters of all the squares.Answer
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2. 
Question 45 Marks
Find three numbers in G. P. such that their sum is 21 and the sum of their squares is 189.