Drag the tiles to the correct boxes to complete the pairs. not all tiles will be used. match each sequence to its appropriate recursively defined function. f(1) = -18 f(n) = 6 · f(n - 1) for n = 2, 3, 4, f(1) = -18 f(n) = f(n - 1) + 21 for n = 2, 3, 4, f(1) = 11 f(n) = f(n - 1) + 22 for n = 2, 3, 4, f(1) = 11 f(n) = 3 · f(n - 1) for n = 2, 3, 4, f(1) = -18 f(n) = f(n - 1) + 22 for n = 2, 3, 4, f(1) = -18 f(n) = 2 · f(n - 1) for n = 2, 3, 4, sequence recursively defined function 11, 33, 55, 77, arrowboth -18, -108, -648, -3,888, arrowboth -18, 3, 24, 45, arrowboth

  see below

Step-by-step explanation:

Since there are fewer sequences than functions, we'll identify the matchup according to the sequence.

11, 33, 55, 77, ...

The first term is 11. The terms have a common difference of 33 -11 = 22. That is, each term is 22 more than the previous one. The appropriate recursive function is ...

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-18, -108, -648, -3888, ...

The first term is -18. The terms obviously do not have a common difference, but their common ratio is -648/-108 = -108/-18 = 6. That is, each term is 6 times the previous one. Then the appropriate recursive function is ...

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-18, 3, 24, 45, ...

The first term is -18. The terms have a common difference of 3-(-18) = 21. That is, each term is 21 more than the previous one. The appropriate recursive function is ...

step-by-step explanation:

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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