Given sequence:
6,2,-2,-6,-10,...
First we have to find the common difference.
d= 2-6=-4
d=-2-2=-4
d=-6-(-2)=-6+2=-4
So common difference is -4.
Which means it is an arithmetic sequence.
Formula for the given sequence is:
an= a1+ (n-1)d
an=6+(n-1)(-4)
an=6-4n+4
an=-4n+10
Answer: an=-4n+10
Hey there,
Your question states: <span>Which choice is the simple formula for the nth term of the following arithmetic sequence?
</span><span>6, 2, -2, -6, -10, 6, -6, 10
If you see,(6,2) are 4 apart. And also (-2,-4) So this would include that (-10,6) because they are also 4 apart.
Hope this helps.
~Jurgen</span>
