A) Write the sequence of natural numbers which are multiplied by 3 ? b) Write the sequence of natural numbers which are multiplied by 3 and added to 1 ?
c) Check whether the sequence obtained above is an arithmetic sequence or not?

a) 3, 6, 9, 12, 15,...,, b) 4, 7, 10, 13, 16,...,, c) Both sequences are arithmetic.

Step-by-step explanation:

a) The sequence of natural numbers which are multiplied by 3 are represented by the function , . Let see the first five elements of the sequence: 3, 6, 9, 12, 15,...

b) The sequence of natural numbers which are multiplied by 3 and added to 1 is represented by the function , . Let see the first five elements of the sequence: 4, 7, 10, 13, 16,...

c) Both sequences since differences between consecutive elements is constant. Let prove this statement:

(i)

(ii)

Both sequences are arithmetic.

where are the options?

step-by-step explanation:

3

step-by-step explanation: