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LenaWriter [7]
3 years ago
6

What is the value of the fourth term in the geometric sequence

Mathematics
1 answer:
ivanzaharov [21]3 years ago
6 0

Answer:

a(4) = 15/4

Step-by-step explanation:

Here we're told that the first term is a(1) = 30 and that the common factor r = 1/2.

Thus, the geometric sequence formula specific to this case is

a(n) = 30(1/:2)^(n-1).

What is the fourth term?  Let n = 4,

a(4) = 30(1/2)^(4-1), or a(4) = 30(1/2)^(3), or  a(4) = 30(1/8) = 30/8, or, in reduced form,

a(4) = 15/4.

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How do you solve a/7+5/7=2/7
Anton [14]
\frac{a}{7} + \frac{5}{7} = \frac{2}{7} \\ \frac{a + 5}{7} = \frac{2}{7} \\ 7(\frac{a + 5}{7}) = 7(\frac{2}{7})
a + 5 = 2
a + 5 - 5 = 2 - 5
a = -3

Hope this helps! :)
4 0
3 years ago
Carrie borrowed $960 in interest free to pay for a car repair. She will pay $120 monthly until the loan is paid off. How many mo
astraxan [27]

Answer:

It will take Carrie 8 months to pay off the loan

Step-by-step explanation:

Step 1: Determine the expression for total amount to be paid

T=m×n

where;

T=total amount to be payed

m=total payments per month

n=number of payments to be made

In our case;

T= $960

m= $120

n=unknown

replacing;

960=120×n

120 n=960

n=960/120

n=8 months

It will take Carrie 8 months to pay off the loan

6 0
3 years ago
Money committed to something that is expected to produce a financial profit is a?
grigory [225]
Money that is expected to produce a final profit is called an investment.
8 0
3 years ago
Below, enter x If the graph of the given equation is symmetric with respect to the x-axis, y if it is symmetric with respect to
ololo11 [35]

Answer:

Step-by-step explanation:

You can tell by looking at the form of each equation.

y = tx

This is a straight line that passes through the origin, so it symmetric with respect to the origin.

y = x²+1

This is an up-opening parabola with vertex at (0,1), so it is symmetrical about the y-axis.

y = x²+x = (x+½)² - ¼

This is an up-opening parabola with vertex at (-½,-¼). Not symmetrical to either axis nor to the origin.

Can't tell what "y = (1 + x2)3" means. Which terms are exponents?

5 0
2 years ago
If you sleep 7 hours every night how many hours are you AWAKE in a year?
Alinara [238K]

Answer:

B

Step-by-step explanation:

24 - 7 = 17.

If there are 365 days in a year, sometimes 366, you would multiply 17 by 365 or 366.

17 x 365 = 6205

17 x 366 = 6222.

if 3/4 years aren't leap year, then there answer would be B, 365.

Please mark brainliest! I had to make a new account. Hope this helps! <3

6 0
2 years ago
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