Question

(a) Write the sequence of odd numbers greater than 1

(b) What is the algebraic form of this sequence?

(c) What is the algebraic form of the arithmetic sequence

3/6,5/6,7/6,............

(d) Prove that this sequence does not contain any natural number? ​

Answer 1

Answer:

a)  3,5,7,9,....

b)  2x + 1  where x is any natural number

c) (2x + 1)/6

d)  natural numbers are numbers starting from 1

   for sequence (2x +1)/6, this forms an odd numbeer by 6, so this sequence                gives non-terminating ad non-recurring numbers,which aren't part of natural numbers. therefore this sequence give no natural numbers  

hope it helps :)