1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
AnnZ [28]
2 years ago
12

Given the sequence 9,6,3,0,..., at what nth term will the number become -24?​

Mathematics
1 answer:
Anton [14]2 years ago
7 0

Answer:

12

Step-by-step explanation:

A sequence is given and we need to find the term when it will become -24 . The given sequence is,

9 , 6 , 3 ,0 , . . . . .

Here Common Difference can be calculated by subtracting consecutive terms . So the Common Difference is 6-9 = -3 . Here the nth term is (-24) .Now using the formula to find nth term .

⇒ T_n = a + (n-1)d

⇒ (-24) = 9 + (n-1)(-3)

⇒ -24-9 = (n-1)(-3)

⇒ (n-1) = -33/-3

⇒ n-1 = 11

⇒ n = 11 + 1

⇒ n = 12

<h3><u>Hence </u><u>the</u><u> </u><u>requi</u><u>red</u><u> </u><u>number</u><u> </u><u>of</u><u> </u><u>term</u><u> </u><u>is</u><u> </u><u>1</u><u>2</u><u>.</u></h3>
You might be interested in
The Frosty Ice-Cream Shop sells sundaes for $2 and banana splits for $3. On a hot summer day, the shop sold 8 more sundaes than
svlad2 [7]

The shop sold 36 sundaes and 28 banana spilts

<em><u>Solution:</u></em>

Let "a" be the number of sundaes sold

Let "b" be the number of banana spilts sold

Cost of 1 sundaes = $ 2

Cost of 1 banana spilt = $ 3

<em><u>On a hot summer day, the shop sold 8 more sundaes than banana splits and made $156</u></em>

Therefore,

Number of sundaes sold = 8 + number of banana spilts sold

a = 8 + b ------- eqn 1

<em><u>Also, given that they made $ 156</u></em>

<em><u>Therefore, we frame a equation as</u></em>:

Number of sundaes sold x Cost of 1 sundaes + number of banana spilts sold x Cost of 1 banana spilt = 156

a \times 2+b \times 3 = 156

2a + 3b = 156 ---------- eqn 2

<em><u>Substitute eqn 1 into eqn 2</u></em>

2(8 + b) + 3b = 156

16 + 2b + 3b = 156

16 + 5b = 156

5b = 156 - 16

5b = 140

<h3>b = 28</h3>

<em><u>Substitute b = 28 in eqn 1</u></em>

a = 8 + 28

<h3>a = 36</h3>

Thus the shop sold 36 sundaes and 28 banana spilts

4 0
3 years ago
(Two wires with lengths of 48cm and 16cm are to be cut into pieces of all the same length without remainder Find the greatest po
anastassius [24]

The longest length you can get with no extra is 56cm

7 0
2 years ago
Find the exact area of a circle having the given circumference.
BaLLatris [955]
Circumference is given by
C=2\pi r
Area is given by
A=\pi r^2

figure out the radius of the circle, then use it to find area
5 0
3 years ago
Read 2 more answers
Michael cuts a piece of wood for a project . The first cut is show and can be represented by the equation y= - 1/3 x + 6 . The s
Rudik [331]

The real answer is Y=-1/3x-2 APEX

5 0
2 years ago
Read 2 more answers
What are all the expressions that are equal to 16x-12-24x+4
Sedaia [141]

Answer:

-8x-8

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • Please do number 23.
    10·1 answer
  • The center on a target has a diameter of 5 inches. The whole target has a diameter of 25 inches. The center of the target takes
    15·1 answer
  • How does this work??
    8·1 answer
  • What is this describing: The set of all points between R and S including R and S. Ray RS Line RS Line Segment RS Ray SR
    15·1 answer
  • For every $5 that Micah saves, his parents give him $10. If Micah saves $150, how much money will his parents give him?
    12·2 answers
  • The houses on a city block were thought to be valued at $169,000, $133,000, $171,000, $145,000, $180,000, $172,000, and $149,000
    12·1 answer
  • Help pls urgent!!!!!!!!!!
    12·1 answer
  • Hey can anyone pls help me out in dis pls i will mark u as brainliest!!!!! and i will give 30 points
    10·2 answers
  • State why the series is convergent or divergent, and if it is convergent, find the sum.
    5·1 answer
  • Subtract 6 1/3 - 2 1/5
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!