Q4 of 50 Page 10

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

Sequence of natural numbers ending in 1 or 6 is,


1, 6, 11, 16, 21, 26, 31, 36, …


It can also be described as,


Arithmetic sequence with first term as 1 and common difference as 5


Or


Sequences of natural numbers, which leave 1 as the remainder when divided by 5.


More from this chapter

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2

Make the following number sequences from the sequence of equilateral triangles, squares, regular pentagons and so on, of regular polygons.

Number of sides – 3,4,5…


Sum of interior angles –


Sum of exterior angles –


One interior angle –


One exterior angle –

 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.

 5

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.

 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.