The sequence given is defined using a recursion formula. write the first four terms of the sequence. a 1 equals 3 and a subscript n baseline equals 2 a subscript n minus 1 baseline plus 5 for n greater than or equals 2

 3 , 6 , 12 , 24

Step-by-step explanation:

The given recursive formula :

for n ≥ 2 and n be any natural number.

Also, First term is given as

Then, for n= 2 , we have

For n= 3 , we have

For n= 4 , we have

The first four terms of sequence =

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation:

geometry: triangles

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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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