Find the following sums :
`(i) 1 + 2 + 3 + …+ 30`
(ii) ` 1^(2) + 2^(2) + 3^(2) + …+35^(2)`
(ii)`1^(3) + 2^(3) + 3^(3) +…+ 20^(3)` .

Find the following sums : (i) 12 + 13 + 14 + …+ 37 (ii) 18^(2) + 19^(2) + 20 ^(2) +…+ 47^(2) (iii) 2^(3) + 4^(3) + 6^(3) +… + 18^(3)

Find the following sums : (i) 12 + 13 + 14 + …+ 37 (ii) 18^(2) + 19^(2) + 20 ^(2) +…+ 47^(2) (iii) 2^(3) + 4^(3) + 6^(3) +… + 18^(3)

Find the sum 1+ (1^(3) + 2^(3))/(2) + (1^(3) + 2^(3) + 3^(3))/(3) + …….(1^(3) + 2^(3) + 3^(3) + …..+ 20^(3))/(20)

Find the centre and radius of each of the following circles : (i) (x - 3)^(2) + (y- 1) ^(2) = 9 (ii) (x - (1)/(2) ) ^(2) + ( y + (1)/(3) ) ^(2) = (1)/(16) (iii) (x + 5) ^(2) + ( y- 3 ) ^(2) = 20 (iv) x ^(2) + (y- 1 ) ^(2) = 2

Find the fourth proportional to : (i) 1.5 , 4.5 and 3.5 (ii) 3a, 6a^(2) and 2ab^(2)

Express the following in the form of a + ib . (i) ( 1/2 + 3i)^(2) (ii) ( 2+ 3i) ( 2-3i)

Express the following in the form of a + ib . (i) ( 1/2 + 3i)^(2) (ii) ( 2+ 3i) ( 2-3i)

Find : (a) 1/2 of (i) 24 (ii) 46 (b) 2/3 of (i) 18 (ii) 27 (c) 3/4 of (i) 16 (ii) 36 (d) 4/5 of (i) 20 (ii) 35

(i) (1.2)^3 (ii) (3.5)^3

i) (1.2)^3 ii) (3.5)^3