The sum of 9 times a number and 2 is equal to 3 .

Write the six terms of each arithmetic sequencePlease see picture for question

chubhunter [2.5K]

ANSWER

The six terms for the arithmetic sequence is 1.6, 1.2, 0.8. 0.4, 0, -0.4

EXPLANATION

Given that;

$\begin{gathered} a_n\text{ = a}_{n\text{ - 1}}\text{ - 0.4} \\ \text{ a}_1\text{ = 1.6} \end{gathered}$

To find the second term, let n = 2

$\begin{gathered} \text{ a}_2\text{ }=\text{ a}_{2\text{ - 1}}\text{ - 0.4} \\ \text{ a}_2\text{ }=\text{ a}_1\text{ - 0.4} \\ \text{ a}_1\text{ = 1.6} \\ \text{ a}_2\text{ }=\text{ 1.6 - 0.4} \\ \text{ a}_2\text{ }=\text{ 1.2} \end{gathered}$

To find the third term, let n = 3

$\begin{gathered} \text{ a}_3\text{ }=\text{ a}_{3\text{ - 1}}\text{ - 0.4} \\ \text{ a}_3\text{ }=\text{ a}_2\text{ - 0.4} \\ \text{ a}_2\text{ = 1.2} \\ \text{ a3 }=\text{ 1.2 - 0.4} \\ \text{ a}_3\text{ = 0.8} \end{gathered}$

To find the fourth term, let n = 4

$\begin{gathered} \text{ a}_4\text{ }=\text{ a}_{4-\text{ 1}}\text{ - 0.4} \\ \text{ a}_4\text{ = a}_3\text{ - 0.4} \\ \text{ a}_3\text{ = 0.8} \\ \text{ a}_4\text{ = 0.8 - 0.4} \\ \text{ a}_4\text{ = 0.4} \end{gathered}$

To find the fifth term, let n = 5

$\begin{gathered} \text{ a}_5\text{ = a}_{5\text{ - 1}}\text{ - 0.4} \\ \text{ a}_5\text{ }=\text{ a}_4\text{ - 0.4} \\ \text{ a}_4\text{ = 0.4} \\ \text{ a}_5\text{ = 0.4 - 0.4} \\ \text{ a}_5\text{ = 0} \end{gathered}$

To find the 6th term, let n = 6

$\begin{gathered} \text{ a}_6\text{ }=\text{ a}_{6\text{ - 1}}\text{ - 0.4} \\ \text{ a}_6\text{ = a}_5\text{ - 0.4} \\ \text{ a}_5\text{ = 0} \\ \text{ a}_6\text{ = 0 - 0.4} \\ \text{ a}_6\text{ = -0.4} \end{gathered}$

Hence, the six terms for the arithmetic sequence is 1.6, 1.2, 0.8. 0.4, 0, -0.4

5 0

1 year ago

Is -16 rational or irrational

stealth61 [152]

I think that maybe 16 is rational

7 0

3 years ago

Read 2 more answers

Please help. I’ll mark you as brainliest if correct!

Nesterboy [21]

Answer:

g(x)= 1/4 |x-2| + 1

Step-by-step explanation:

line:

g(x)

points on same line:

(2, 1) and (6, 2)

slope based on the points

m= (2-1)/(6-2)= 1/4

And the line is moved to the right by 2 units:

So the function becomes:

g(x)= 1/4|x-2|

Considering movement up by 1 unit as well:

g(x)= 1/4 |x-2| + 1

This is the final of equation for the line.

6 0

3 years ago

Please hurry!!

yan [13]

Answer:

All the powers have a value of 1 because the exponent is zero.

Step-by-step explanation:

I surmised that from the two numbers I <em>could</em> seen

3 0

3 years ago

Read 2 more answers

Graph the following number on the number line below <br> 16/4, -2.7, 1.75, 1/5

Papessa [141]

Assuming that you need to place the numbers on a number line;

1) Convert all numbers in one form, be it fraction or decimals

16/4 = 4
-2.7 = -2.7
1.75 = 1.75
1/5 = 0.2

2) Draw a number line with zero in the middle and positive numbers going to the right. The negative numbers go on left.

3) Place the decimal/fraction numbers into the number line, using a constant interval.

Hope I helped :)

8 0

4 years ago