Prove the formula for all natural numbers n.
?
?
List the steps involved.
What will be an ideal response?
is true. However, 
is just the statement that 
, which is true.Step 2: Assuming that 
is true, we must prove that 
is true. Let's examine 
and 
.
.
is obtained by substituting k + 1 for n in 
.
.
If we add 
to the both sides of the equation for 
, we'll get the equation for 
.
Since equation for 
follows from equation for 
, we have demonstrated that 
.
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Find the length of the parametric curve defined over the given interval.x = et, y = 
e3t/2, ln 2 ? t ? ln 6
A. 
B. (73/2 - 33/2)
C. 
(
- 
)
D. 
(73/2 - 33/2)
Find a formula for the function graphed.
A. f(x) = 
B. f(x) = 
C. f(x) = 
D. f(x) = 
Find the mean, median, and mode for the given data set.7, 5, 3, 9, 11, 7, 7, 5, 9, 11, 7, 3, 12, 9, 7, 7, 3, 5, 9, 7
A. Mean = 7.15, median = 9, mode = 7 B. Mean = 7.15, median = 7, mode = 7 C. Mean = 7.15, median = 7, mode = 12 D. Mean = 7.65, median = 7, mode = 12
Find the limit and determine if the function is continuous at the point being approached.
tan (sin (-3? cos (sin ?)))
A. Does not exist; no B. 0; no C. 0; yes D. 1; yes