The temperature in a city was recorded over a ten-hour period. The graph below shows the relationship between the temperature an
d the number of hours.
Which statement best interprets information provided by the graph?
A. The temperature in the city increased for some time and decreased for some time.
B. The temperature remained constant for a while.
C. The temperature in the city increased throughout the period.
D. The temperature in the city increased at a constant rate for the entire time.
Which statement best interprets information provided by the graph?
A. The temperature in the city increased for some time and decreased for some time.
B. The temperature remained constant for a while.
C. The temperature in the city increased throughout the period.
D. The temperature in the city increased at a constant rate for the entire time.
1 answer:
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You can try to show this by induction:
• According to the given closed form, we have , which agrees with the initial value <em>S</em>₁ = 1.
• Assume the closed form is correct for all <em>n</em> up to <em>n</em> = <em>k</em>. In particular, we assume
and
We want to then use this assumption to show the closed form is correct for <em>n</em> = <em>k</em> + 1, or
From the given recurrence, we know
so that
which is what we needed. QED