All categories

3 years ago

Write the first five terms of the geometric sequence whose first terns 6, and whose common ratio is 3.

Mathematics

1 answer:

Tasya [4]3 years ago

3 0

The first five terms of the geometric sequence is 6, 18, 54, 162 and 486

Geometric progression is given by:

$nth\ term=ar^{n-1}$

where a is the first term, r is the common ratio

Given that first term is 6, and common ratio is 3, Hence a = 6, r = 3

$First\ term=6\\\\Second \ term=6(3)^{2-1}=18\\\\Third \ term=6(3)^{3-1}=54\\\\Fourth \ term=6(3)^{4-1}=162\\\\Fifth \ term=6(3)^{5-1}=486$

The first five terms of the geometric sequence is 6, 18, 54, 162 and 486

Find out more on geometric sequence at: brainly.com/question/24355584

You might be interested in

Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.

harina [27]

Check the picture below.

4 0

2 years ago

Complete the square to find<br> the vertex of this parabola.<br> x2 + 10x – y + 15 = 0<br> ([?], [])

prisoha [69]

Answer:

your answer is -5,-10

Step-by-step explanation:

please mark brainliest

8 0

3 years ago

A sample from a group of people will not always be representative of the entire group.

worty [1.4K]

True of False? It depends on the scenario of the data size.

3 0

3 years ago

Read 2 more answers

madreJ [45]

Answer:

Step-by-step explanation:An ice machine uses 3 gallons of water every 9 hours. How many gallons of water does it use each hour? How many

hours does it take to use one gallon?

gallon per hour, 1 hour

gallon per hour, 3 hours

3 gallons per hour, 5 hour

gallon per hour,

1 hour

6 0

3 years ago

6,666,666×666,666 /1+2+3+4+5+6+5+4+3+2+1 − 777,777×777,777/1+2+3+4+5+6+7+6+5+4+3+2+1

jeka57 [31]

Answer:

111111 $\times$ 1111110 is the simple expression.

Step-by-step explanation:

The expression to be solved:

$\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1} - \dfrac{777,777\times777,777}{1+2+3+4+5+6+7+6+5+4+3+2+1}$

First of all, let us solve the first term:

$\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1}\\\Rightarrow \dfrac{6666666\times666666 }{36}\\\Rightarrow \dfrac{6666666\times666666 }{6\times 6}\\\Rightarrow 1111111\times 111111$

Now, the right term:

$\dfrac{777777\times777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}\\\Rightarrow \dfrac{777777\times777777}{49}\\\Rightarrow \dfrac{777777\times777777}{7 \times 7}\\\Rightarrow 111111 \times 111111$

So, the expression to be solved becomes:

$1111111\times 111111-111111\times 111111\\\Rightarrow 111111(1111111-1)\\\Rightarrow 111111\times 1111110$

3 0

3 years ago