bks53
19.04.2021 •
Mathematics
Start with a square of side length 1. Join the midpoints of its four sides to form a smaller square and 4 right triangles. Let A1 be the area of one of the right triangles. Now, join the midpoints of each side of the smaller square to form a new even smaller square and 4 new right triangles. Let A2 be the area of one of the new right triangles. Continue the process forever.
Requried:
a. Find a formula for A.
b. Determine whether the sequence A converges. If it does converge, what is the limit?
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Ответ:
2 dozen= 24 so the ratio would be 24:8 but both numbers are divisible by 8