Find the 72nd term of the arithmetic sequence 11, 7,3,...

-273

Step-by-step explanation: To determine the 72nd term, we will want use our explicit formula which is shown below.

Since we want to find the 72nd term, the

in the formula will be changed to .

Also, the 72 will be substituted in for the n

that is inside the set of parentheses.

Then will be the 1st term given in our sequence or 11.

Lastly, the d outside the parentheses is the difference between

each of the terms in the sequence which is -4.

So we now have .

Now we have all the information we need.

Now we can simplify from here.

Make sure to apply your order of operations because

this is where a lot of students make mistake.

Start simplifying inside the parentheses!

(72 - 1) is going to be 70.

So we have .

Then, we have to multiply before we add.

So (71)(-4) is going to be -284.

So we have .

Solving from here, 11 + (-284) simplifies to -273.

This means that the 72nd term of this sequence is -273.

eve and marks ratios are equivalent

step-by-step explanation: