Which pattern of numbers can be produced by the formula an=3n-4

Question is asking about the pattern of numbers can be produced by the formula

So we will just plug numbers n=1,2,3,4,... ot find the required terms of the pattern

For n=1

For n=2

For n=3

For n=4

Using same method we can find more numbers.

Hence required pattern is -1, 2, 5, 8, ...

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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