Certainly! Let's determine the common differences between the given sequence elements step-by-step.
1. Sequence Elements:
The given sequence elements are 3, 11, and 35.
2. First Common Difference (d1):
To find the first common difference, we subtract the first element from the second element:
[tex]\[
d1 = 11 - 3
\][/tex]
3. Calculating d1:
[tex]\[
d1 = 8
\][/tex]
4. Second Common Difference (d2):
To find the second common difference, we subtract the second element from the third element:
[tex]\[
d2 = 35 - 11
\][/tex]
5. Calculating d2:
[tex]\[
d2 = 24
\][/tex]
So, the common differences are:
- First common difference ([tex]\(d1\)[/tex]) = 8
- Second common difference ([tex]\(d2\)[/tex]) = 24
These are the common differences for the given sequence elements.
