Answer:
Stare at it long enough. You will notice that with each step you double the value, and change sign. It makes it a geometric sequence of ratio -2. At this point you have two ways of writing down:
Option 1: Ricorsively, the first term is -5, then the next term is -2 times the previous one:
Option 2: In closed form, remembering that the n-th term in a geometric sequence is the starting term times the n-th power of the ratio:
Either work, depending on what you need to use it for.
Answer:
The n-th term of this sequence appears to be
3
n
−
1
,
n
≥
1
.
Step-by-step explanation:
These are powers of
3
ordered from
3
0
=
1
to
3
a
(for an integer
a
≥
1
). However, the first convenient value for
n
is
1
, not
0
(imagine saying the 0th term of a sequence). Because of that, since the first term is actually
3
0
, we need to start from the first term (
n
=
1
) being
3
1
−
1
. The next is
3
2
−
1
,
3
3
−
1
...
3
n
−
1
.
There are no common factors between the two terms
13
x
and
10
- see explanation below.
Explanation:
First, we can try factoring the constants in each term:
13 is a prime number and therefore can only be factored to 1 and 13.
10 can be factored as (1 x 10) or (2 x 5).
Because there are no common factors other than
1
the constants cannot be factored.
And, because there is no
x
in the second term (10), we cannot factor an
x
out of the two terms.
Therefore this expression cannot be factored.
Answer:
The student can increase the magnetic field of the magnet by using an electromagne.
Answer:
- Circumference
- Area
- Circumference
Step-by-step explanation:
Circumference would be if the situation is asking for the amount of something around the edge. For example, the number of tiles to be placed around the swimming pool would be asking for circumference.
Area would be if the situation is asking for the amount of something spread through the entire item. For example, the amount of water total in a swimming pool would be asking for area.
Hope it helps!
