Answer:
Step-by-step explanation:
<u>Exponents Properties</u>
We need to recall the following properties of exponents:
We are given the expression:
We need to express the following expression in terms of n.
It's necessary to modify the expression to use the given equivalence.
Recall . Thus:
Applying the property:
Substituting the given expression:
Or, equivalently:
<u>Answer:</u>
-348
<u>Step-by-step explanation:</u>
We are given the following arithmetic sequence and we are to find the sum of its first 12 terms:
1, -4, -9, -14, . . .
For that, we will use the formula for the sum of the arithmetic mean:
We know the value of the first term () but we need to find the value of
. So we will use the following formula:
Substituting these values in the sum formula to get:
-348