Answer:
12
Step-by-step explanation:
The two shapes are similar and in a ratio of 4/1.
This is because, for matching sides of the quadrilaterals:
56 / 14 = 4
40 / 10 = 4
Therefore, 3 * 4 = 12 (The matching side in the larger shape)
nth term = (1/6)(6)^(n-1).
The first term a1 = 1/6 and the common ratio r = 1 / 1/6 = 6, also 36/6 = 6 which confirms this.
So the nth term = a1 r^(n - 1)
= (1/6) 6^(n-1).