|PR| = |PQ| + |QR|; |PQ| = |QR| conclusion |PR| = 2|PQ|
|PQ| = 3y; |PR| = 42; |QR|=?
subtitute
42 = 2(3y)
6y = 42 |divide both sides by 6
y = 7
|QR| = 3(7) = 21
Answer: About 1 yard is a reasonable estimate.
Step-by-step explanation:
1 ⁷/₁₄ is a yard and a half
⁹/₁₄ is just a bit more than half a yard
Rounding that off to half a yard, and finding the difference leaves about 1 yard.
The actual difference is ¹²/₁₄ of a yard the same as ⁶/₇ of a yard, or just about 5¹/₂ inches less than a yard.
The sequence is a geometric sequence with a common ratio of 2. since the common ratio is greater than 1, the sequence diverges.