We can find a formula for nth term of the given sequence as follows:
1, 5, 12, 22, 35
The 1st differences between terms:
4, 7, 10, 13
The 2nd differences :
3, 3, 3
Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: 
, where c is a constant. The coefficients a, b, and the constant c can be found.
We can form the following 3 equations with 3 unknowns a, b, c:
Solving for a, b, c, we get:
a = 3/2, b = -1/2, c = 0
Therefore, the nth term of the given sequence is:
Answer:
3.14 or pi
Step-by-step explanation:
the area of a circle = 
where r is the radius of the circle
this is 1/4 of the circle, so it would be 1/4 (pi * r²)
it shows that the radius is 2, so you have
1/4 ( pi * 2²)
= 1/4 ( pi * 4 )
= 1/4 (3.14 * 4)
= 3.14 units²
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
First let's establish that the problem requires the border to be as long as the total perimeter of the rectangular bulletin board.
Therefore:
Total length of border = Perimeter of rectangular bulletin board
As a rectangle has a total of four sides with two equivalent longer sides and two equivalent shorter sides, we must multiply the value of each of the two sides by two.
Total length of border = 2 ( 2 ) + 2 ( 4 )
Total length of border = 4 + 8
Total length of border = 12 feet
12 > 10
ANSWER:
Therefore, 10 feet of border isn't enough.
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Answer:
A. because 5 < 6. 1-(-4)=5. and 4-(-2) =6
Answer:
convert the expression for N into logs
evaluate those logs using a log table
thus determine log N
calculate antilog of log N
Thus,
log
N
=
(
647
⋅
32
×
0.00000147
8.473
×
64
)
=
log
(
647
⋅
32
)
+
log
(
0.00000147
)
−
log
(
8.473
)
−
log
(
64
)
