The sequence is, in fact, quadratic. It is described by the equation
.. a[n] = (n*(n -1))/2 +2
First differences are increasing, so the sequence will not be arithmetic. An arithmetic sequence has constant first differences.
Second differences are constant, so the sequence will not be geometric. A geometric sequence will have first-, second-, third-differences, and those to any level, that have the same constant ratio as the terms of the original sequence.
$67.50 for three pairs of pants. $97.50 for five pairs of jeans. For all of these the price would be $165.00
Answer:
(square root of 160)in
Step-by-step explanation:
the longest 2 sides are 4 and 12
4^2 + 12^2 = c^2
16+144=c^2
160=c^2
c = square root of 160
First observe that if
,

Let
and
. It follows that

Now let
, so
. Solving for
,

which means

Now solve for
.

(note that we assume
)

(we omit
since
is not true)