Find a formula for the nth term in this arithmetic sequence:
a1 = -7, 22 = -1, a3 = 5, 24 = 11, ...

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences can be identified because each term is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

Here a1 is the first term and r is the common difference.

The given sequence is:

We can find the common difference by subtracting successive terms:

Since all the differences are equal, r=6. Thus, the general term is:

Operating:

The nth term is:

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

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