For each geometric sequence, find a recursive rule by finding the common ratio by calculating the ratio of consecutive terms. Find an explicit rule for the sequence by finding each term as the product of the first term and a power of the common ratio.
1 2 3 4 5
4 -2 1 -1/2 1/4
the recursive rule is:?
the explicit rule is:?

The area of the shape is 46.

Step-by-step explanation:

The triangle is 3x4 then divided by 2. So, 6.

The rectangle is 10x3. So, 30.

Now, for the trapezoid. Turn it into a rectangle and two triangles. Each triangle on an end of the rectangle.

Triangles: 1x2 for each rectangle. So, 2 for each, which is 4 in total.

Rectangle: 3x2 for the rectangle between the mini triangles. Which is 6.

6+30+4+6=

6+30+10=

6+40=46