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kherson [118]
3 years ago
15

Find an explicit rule for the nth term of the sequence. 7, 21, 63, 189, ...

Mathematics
1 answer:
SpyIntel [72]3 years ago
8 0

Answer:

7 \times  {3}^{n - 1}

Step-by-step explanation:

using form:

a \times  {r}^{n - 1}

where a: starting number

where r: common ratio (in this case each next term is 3 times previous term)

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7 years ago father was 7 times as old as his son was. three years hence, he will be three times as old as his son find their pre
EastWind [94]

Answer:

son = 10 , father = 40

Step-by-step explanation:

Let Five years ago the age of son be x years and age of father be 7x years

Present age of son =x+5

Present age of father =7x+5

5 years later their age will (x+10) and (7x+10)

∴7x+10=3(x+10)

7x−3x=20

4x=20

x=5

So, the present age of son=x+5=5+5=10years

and the present age of father=7x+5=35+5=40years

hope it helps you

8 0
2 years ago
Please help me please
MissTica

Answer:

not all of them are proportional because they do not all equal the same.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Find an explicit formula for the geometric sequence -40,-20,-10......
garik1379 [7]

Answer:

The explicit formula for the geometric sequence is c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}.

Step-by-step explanation:

By definition of geometric sequence, we should use the following expression:

c(n) = c_{1}\cdot r^{n-1}, n \ge 1 (1)

Where:

c_{1} - First term.

r - Geometric rate.

n - Position of the element within the series.

If we know that c_{1} = -40 and r = \frac{1}{2}, then the explicit formula for the geometric sequence is:

c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}

The explicit formula for the geometric sequence is c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}.

3 0
3 years ago
Identify the figures below​
MakcuM [25]

Answer:

cool.

Step-by-step explanation:

5 0
2 years ago
X 12. Find the volume of the composite solid. Use 3.14 for . 5.5 ft Find the volume of the cone using the formula. ​
svetlana [45]

Answer: 74.61 ft^3

Step-by-step explanation:

6 0
2 years ago
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