Answer:
-68 is not a term in the given sequence
Step-by-step explanation:
The given sequence is -12, -17, -22, -27...
There is a common difference of d=-17--12=-5
The explicit rule for this sequence is [tex]f(n)=-12-5(n-1)[/tex]
Or [tex]f(n)=-5n-7[/tex]
To find the term that has a value of -68 we equate the explicit formula and solve for n.
[tex]-68=-5n-7[/tex]
[tex]\implies -68+7=-5n[/tex]
[tex]\implies -61=-5n[/tex]
[tex]n=\frac{61}{5} =12.2[/tex]
The position should be a natural number.
Since n is a decimal, it tells us that -68 is not a term in the given sequence
