Question

In the arithmetic sequence, -12, -17, -22, -27... which term has a value of -68?​

Answer 1

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 $f(n)=-12-5(n-1)$

Or $f(n)=-5n-7$

To find the term that has a value of -68 we equate the explicit formula and solve for n.

 $-68=-5n-7$

 $\implies -68+7=-5n$

 $\implies -61=-5n$

$n=\frac{61}{5} =12.2$

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