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
Shtirlitz [24]
3 years ago
8

Enter a recursive rule for the geometric sequence. 10, −80, 640, −5120, ... a(1)= a(n)=

Mathematics
2 answers:
Liula [17]3 years ago
6 0
The recursive formula would be:
a_1=10
\\a_{n}=a_{n-1} \times (-8)

This is because the first term, a₁, is 10.  A recursive rule is dependent upon the term before it (a(n-1)) and the common ratio.  The common ratio, or the number that each term is multiplied by, is -8.
erik [133]3 years ago
3 0

Answer:

The value is:

a(1)=10   and   a(n)=(-8)×a(n-1)

Step-by-step explanation:

We are given a sequence as:

10, -80 , 640 , -5120 ,.........

since by looking at the sequence we could see that it is a geometric progression (G.P.) with common ratio -8.

Also a(1) denotes the first term of the sequence and a(n) denotes the nth term of the sequence.

a(1)=10

Also a(n)=(-8)×a(n-1)

since a(1)=10

a(2)=(-8)×10=-80

a(3)=(-8)×(-80)=640

a(4)=(-8)×640=-5120

and so on.

Hence the answer is:

a(1)=10   and   a(n)=(-8)×a(n-1)

You might be interested in
Which expressions are equivalent to (5g+3h+4) •2
timama [110]

Step-by-step explanation:

Unfortunately you didn’t provide the expressions to chose from

however, we can write :

(5g+3h+4) •2 = 2*5g + 2*3h + 2*4  (using distributive property)

                     = 10g + 6h + 8.

5 0
2 years ago
1. 10:15 H Wednesday (Philippines) - 05:15 H Wednesday (Riyadh, Saudi<br>Arabia)<br>Time difference​
kotegsom [21]

Answer:

5hours

Step-by-step explanation:

10:15 - 05:15 = 5 hours

Thsi means that local time in Philippines is 5 hours ahead of local time in Riyadh, Saudi Arabia.

The time can be interpreted as follows ; At a certain time in the Philippines, say 10:15 am in the morning, At this verh point in the Riyadh, Saudi Arabia, the time will be :

(10:15 - 5 hours) = 05:15

7 0
3 years ago
Suppose Mahkah makes a Native American lunch in a pot that is shaped like a right cylinder. If
Harman [31]

The pot can hold 5.23 quarts

Step-by-step explanation:

  • Step 1: Find the volume of the right cylinder shaped pot.

Diameter of the pot = 8 in

⇒ Radius = 4 in

Height = 6 in

⇒ Volume of the pot = πr²h = 3.14 × 4² × 6

                                   = 301.44 in³

  • Step 2: Convert inches to quarts.

1 in³ = 0.017316 liquid quarts

⇒ 301.44 in³ = 301.44 × 0.017316 = 5.23 quarts

6 0
3 years ago
Find the coordinates of the midpoint of a segment having the given endpoints.
inysia [295]

Answer:

A. (1.55, 2)

Step-by-step explanation:

The formula to apply when finding the midpoint of a segment where the coordinates of the end points are given is;

midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )

where (x₁,y₁) and (x₂,y₂) are the coordinates of the end points

Given;

x₁= -0.4 ,y₁=2.5,  x₂=3.5, y₂=1.5 then applying the formula for midpoint

=(\frac{-0.4+3.5}{2} ,\frac{2.5+1.5}{2} )\\\\\\=(\frac{3.1}{2} ,\frac{4.0}{2} )\\\\\\=(1.55,2.0)

3 0
3 years ago
How many times can Henry expect to roll a 4 if he rolls a fair number cube 120 times?
aleksklad [387]
120 x (1/6) = 20 times
7 0
3 years ago
Other questions:
  • 75,000 live bacteria are present in a culture in a flask. When an antibiotic is added to the culture, the number of live bacteri
    10·1 answer
  • 32 is 40% of what number?<br><br><br><br> Enter your answer in the box.
    9·2 answers
  • there are 6 times as many dogs as cAts. if tje total number of dogs and cats is 21 how many dogs are tjrre
    11·1 answer
  • What is the best estimate of 18x709?
    11·1 answer
  • Six million and five thousandths
    12·1 answer
  • Does this table represent a function? Why or why not?
    10·1 answer
  • What is 2/3 of 3/4 equal to
    14·2 answers
  • !!!! PLS HELP I NEED THE WORK ILL DO WHATEVER!!!! brainlist&lt;
    12·1 answer
  • A baby girl weighed 6 pounds at birth and 8
    5·2 answers
  • Let ask be the number of points that you can be scored on one question of a statistics exam below is the probability distributio
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!