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diamong [38]
3 years ago
12

A geometric sequence has an initial value of 2 and a common ratio of 3. Which formula would be more practical to use if you were

looking find the value of the 19th number in the sequence?
Mathematics
1 answer:
Makovka662 [10]3 years ago
8 0

Answer:

19th term = ar^18

19th term = 774,840,978

Step-by-step explanation:

First term, a = 2

Common ratio, r = 3

nth term of a geometric sequence = ar^(n-1)

19th term = ar^(19-1)

19th term = ar^18

= 2 × 3^18

= 2 × 387,420,489

= 774,840,978

19th term = 774,840,978

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STatiana [176]

Answer:

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Step-by-step explanation:

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2 years ago
Pls help me!!!!!!!!!!!!!!!!!!!!!!!!
SIZIF [17.4K]

Answer:

x = 3y + 1

Step-by-step explanation:

You need to find the relationship between x and y before finding the y-intercept.

0-(-1) = 1

1-0 = 1

2-1 = 1

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4-1 = 3

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4 0
3 years ago
Read 2 more answers
Kenny had a total of 140 minutes to read, do homework, and play video games. he spent x minutes reading. he spent 2(x + 5) minut
Mekhanik [1.2K]

Answer:

35 min

Step-by-step explanation:

given that the total time spent is 140min

and that the time spent reading is x minutes

and also that the time spent doing home work is 2(x+5)

the time spent playing video game is 25

the expression for the total time is given as

total = reading +homework +video game

140=x+2(x+5)+25

solving for x we have

140=x+2x+10+25

140=3x+35

140-35=3x

105=3x

x=105/3

x=35

kenny spent 35 min reading

3 0
3 years ago
Write the standard form of the line that contains a y-intercept of -3 and passes through the point (3, 0). Include your work in
mina [271]
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m=(y2-y1)/(x2-x1)

m=(-3-0)/(0-3)

m=-3/-3

m=1  so far for the line y=mx+b we have:

y=x+b, b is the y intercept which we were told is -3 so

y=x-3

The above is called the slope-intercept form of a line, y=mx+b, the standard form of a line is ax+by=c, so we need to get both variables on one side of the equation..

y=x-3  subtract x from both sides

-x+y=-3

While the above may be acceptable to some, technically the coefficient of x should be expressed as a positive value, so we should divide the above "solution" by -1 to get:

x-y=3
6 0
3 years ago
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