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The surface area of the figure is 412 cm2.

Step-by-step explanation:

To determine the total surface area of a prism, the following formula must be applied: perimeter of the base x height + 2 x area of the base = total surface area. Thus, the calculations of the blue prism must be carried out and then add the sides of the red figure that do not coincide with it:

Blue figure:

(12 x 2 + 2 x 2) x 10 + 2 x (12 x 2) = X

(24 + 4) x 10 + 2 x 24 = X

28 x 10 + 48 = X

280 + 48 = X

328 = X

Red figure:

3 x 8 = 24 x 2 = 48

3 x 6 = 18 x 2 = 36

328 + 48 + 36 = X

376 + 36 = X

412 = X

Therefore, the surface area of the figure is 412 cm2.

-50/3

step-by-step explanation:

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2