Mathematics: In the arithmetic sequence, -12, -17, -22, - which term has a value of -68?

91/156 in simplest form is 7/12...

In the arithmetic sequence, -12, -17, -22, - which - id1217223410905, bluexorsit7603

LuxTheGirl5214

07.01.2022

-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

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