Answer:
The 6th term of the arithmetic sequence 0, 4, 8, and 12 is 20.
Step-by-step explanation:
d=4
an= a1+(n-1)d
a6= 2+(6-1)4
= 2+(5)(4)
= 2+20
a6= 20
Another Explanation:
Also, there is another solution to solve this problem:
This is the illustration of the given problem:
0, 4, 8, 12, and so on...
In this case, you must know the multiplicative of these numbers. In order to find that, you should know the pattern they follow.
0, 4, 8, 12, and so on...
If you notice, they follow the pattern of 4 as well as the pattern is in ascending order. To indicate the 6th term, you have to continue the ascending pattern of 4. And this means every number you will add 4.
Solution: 0+4=4, 4+4=8, 8+4=12, 12+4=16, 16+4=20
To define that, here's the concrete answer:
1st term: 0
2nd term: 4
3rd term: 8
4th term: 12
5th term: 16
6th term: 20
And the final answer or the order is: 0, 4, 8, 12, 16, 20
So that, the sixth term is 20.
My Exposition:
As you see, the answer still goes to the right path even you didn't use the standard formula to solve this. That's why this solution is creative than the one that uses the right formula to solve this.
