Answer:

Step-by-step explanation:
An arithmetic sequence that is described by the explicit formula ...

can also be described by the recursive formula ...

Matching parts of the formulas, we see that a1 = 4, d = -7. Putting these values into the explicit formula gives ...

Answer:
The common ratio is 5 and the 5th term is 1250
Step-by-step explanation:
The common ratio is given by
r=U(2)/U (1)
=10/2
=5
The fifth term
U (n)=ar^n-1
U(5)=2(5)^5-1
=2×5^4
=2×625
=1250
The table you drew under the question is exactly the right way to start.
-- Make a second column, next to the 6 and 7. This column will be
the actual number of each thing.
-- You know that there are 42 marbles, so write '42' in the box
next to the 6, on the 'Marbles' line.
Now you need to figure out what to write in the 'Stones' line, next to the 7.
-- Look at the 'Marbles' line. There's a 6 and then a 42.
Ask yourself: " Self ! What does the 6 have to be multiplied with to get 42 ?"
-- Whatever the answer is, drop down to the 'Stones' line,
and multiply the 7 by the same number.
The product is the total number of stones, and it goes in the box.
.
.
.
(The mystery number is 7. There are 49 stones.)
Answer:
x = 0.5
Step-by-step explanation:
2(2x-1)=3
2(2x)+1=3
-1 -1
2(2x)=2 2x2=4
4x=2
4÷4 Cancels out the 4 in X
2÷4=0.5
Therefore
x = 0.5
Answer: 48 millas por hora
Step-by-step explanation: 40t + 2= 60t - 3, es t = .25.
la distancia de su casa a su trabajo es 40(0.25 +0.05) =12 millas allí para su velocidad promedio debería ser 12/0.25 = 48 millas por hora