Finding a Limit Let T be an equilateral triangle with sides of length 1. Let a_n be the number of circles that can be packed tightly in n rows inside the triangle. For example, = 1, a₂ = 3, and a₃ = 6, as shown in the figure. Let A_n be the combined area of the a_n circles. Find

answer

watching

150

views

For unlimited access to Homework Help, a Homework+ subscription is required.

Liked by mkimura138837

You have 0 free answers left.
Get unlimited access to 3.8 million step-by-step answers.

Get unlimited access

Already have an account? Log in

Joram GuingguingLv10

29 Jul 2020

Unlock all answers

Get 1 free homework help answer.

Already have an account? Log in

Related questions

To construct the snowflake curve, start with an equilateral triangle with sides of length 1. Step 1 in the construction is to divide each side into three equal parts, construct an equilateral triangle on the middle part, and then delete the middle part (see the figure). Step 2 is to repeat step 1 for each side of the resulting polygon. This process is repeated at each succeeding step. The snowflake curve is the curve that results from repeating this process indefinitely.

(a) Let and represents the number of sides, the length of a side, and the total length of the nth approximating curve (the curve obtained after step n of the construction), respectively. Find the formulas for and .