Q5 of 50 Page 10

One cubic centimeter of iron weight 7.8 grams. Write as sequences, the volumes of weights of iron cubes of sides 1 centimetre, 2 centimetres and so on.

Volume of cube = side × side × side


For side = 1, Volume = 1 cc.


For side = 2, Volume = 8 cc.


For side = 3, Volume = 27 cc.


Hence, the sequence is 1, 8, 27… and so on which is clearly not an AP


More from this chapter

All 50 →
3

Write down the sequence of natural numbers leaving remainder 1 on division by 3 and the sequence of natural numbers leaving remainder 2 on division by 3.

 4

Write down the sequence of natural numbers ending in 1 or 6 and describe it in two other ways.

 1

Write the algebraic expression for each of the sequences below:

i) Sequence of odd numbers


ii) Sequence of natural numbers which leave remainder 1 on division by 3.


iii) The sequence of natural numbers ending in 1.


iv) The sequence of natural numbers ending in 1 or 6.

 2

For the sequence of regular polygons starting with an equilateral triangle, write the algebraic expressions for the sequence of the sums of interior angles, the sums of the exterior angles, the measures of an interior angle, and the measures of an exterior angle.