Let's look at the terms of the sequence for different values of n, starting from 0.
a₀ = 0/1 = 0
a₁ = 1/(1 +1) = 1/2
a₂ = 2/(2 + 1) = 2/3
a₃ = 3/(3 + 1) = 3/4
a₄ = 4/5
a₅ = 5/6
a₆ = 6/7
a₇ = 7/8
a₈ = 8/9
a₉ = 9/(9+1) = 9/10
a₁₀ = 10/(10+1) = 10/11 and so on
Let's look at the terms. As n gets bigger the terms gets closer to 1. We started with 0, then to one half, then two thirds, and as we get larger and larger, the terms are getting closer to 1. Let's choose a really big n and see.
a₉₉₉ = 999/(999 + 1) = 999/1000
Or an even bigger n:
a₉₉₉₉₉₉₉₉₉ = 999999999/(999999999 + 1) = 999999999/1000000000ⁿ
So as n gets really really large - and close to infinity - the terms get closer to 1.
The answer depends on how long her yoga class is. If she is taking four breaths every ten seconds she'd take 24 breaths a minute or 1440 breaths an hour.
Answer:
Instead of moving right 4 times and up 7 times, John moved left 4 times and down 7 times.
Step-by-step explanation:
(x + 4, y + 7) = Right 4, Up 7
NOT
(x - 4, y - 7) = Left 4, Down 7
Answer:
359.74
sam has more
Step-by-step explanation:
372 - 12.26 = 359.74
372 > 12.26
