Find the area of a sector of a circle with a radius of 6 cm if the angle of the sector is 60°.
The sum of the reciprocals of Suprim’s ages, (in years) 3 years ago and 5 years from now is 1/3. Find his present age.
The altitude of a right triangle is 7 cm less than its base. If the hypotenuse is 13 cm, find the other two sides.
Sulav and Sukriti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.
1. Write the first terms of each of the following sequences whose nth term are:
(i) an = 3n + 2
(ii) an = (n – 2)/3
(iii) an = 3n
(iv) an = (3n – 2)/ 5
(v) an = (-1)n . 2n
(vi) an = n(n – 2)/2
(vii) an = n2 – n + 1
(viii) an = n2 – n + 1
(ix) an = (2n – 3)/ 6
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