2, 12, 22, 32, 42...
Find the difference between the 102nd and the 105th term.
a. 20
b. 30
c. 40
d. 70
e. 90 is a correct?
No.
What's the difference between each of the numbers you posted?
10?
Yes.
So what is the difference between the 102nd and the 105th term?
3 so do i just multiply 3 by 10 and the answer is b?
Yes. :-) B is correct.
Thank you! ;-)
You're welcome.
we love u mr.sue<3
To find the difference between the 102nd and the 105th term of the given sequence, we first need to identify the pattern in the sequence.
Looking at the numbers, we can observe that each term is obtained by adding 10 to the previous term. So, the pattern is an arithmetic sequence with a common difference of 10.
To calculate the value of the 102nd term, we start with the initial term of 2 and add 10 repeatedly:
2 + 10 = 12 (2nd term)
12 + 10 = 22 (3rd term)
22 + 10 = 32 (4th term)
...
Continue this process until we reach the 101st term.
To calculate the value of the 105th term, we repeat the process until we reach the 104th term.
Once we have these values, we subtract the 102nd term from the 105th term to find the difference.
Let's calculate the values:
102nd term: 2 + (102 - 1) * 10 = 2 + 101 * 10 = 2 + 1010 = 1012
105th term: 2 + (105 - 1) * 10 = 2 + 104 * 10 = 2 + 1040 = 1042
Now, we find the difference between the 102nd and 105th terms:
1042 - 1012 = 30
Therefore, the difference between the 102nd and 105th terms is 30.
So, the correct answer is b. 30.