First twenty counting numbers in base 9

Step-by-step explanation:

Our normal number system is decimal system, there we have numbers from 0 to 9, that is base 10. Here we are asked about counting numbers in base 9, so the numbers in the system are from 0 to 8.

First twenty counting numbers in base 9 are

    1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,20,21,22.

third option: 6x+8

step-by-step explanation:

we can see that the given question is a sum of series and the values of n vary from 0 to 3

the first term will be:

when n=0, [(0)*x+2] => (0+2) => 2

when n=1, [(1)*x+2] => (x+2) => x+2

when n=2, [(2)*x+2] => 2x+2

when n=4, [(3)*x+2] => 3x+2

so adding up all the terms will give us:

=2+x+2+2x+2+3x+2

=x+2x+3x+2+2+2+2

=6x+8

so,

third option is the correct answer ..