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
dexar [7]
3 years ago
5

2,-10,50,-250,.. Geometric sequence

Mathematics
1 answer:
nikklg [1K]3 years ago
8 0

This question is incomplete, here is the complete question

What is the recursive formula for this geometric sequence 2, -10, 50, -250, .... ?

The recursive formula for this geometric sequence is:

a_{1} = 2; a_{n} = (-5) • a_{n-1}

Step-by-step explanation:

To find the recursive formula for a geometric sequence:

  1. Determine if the sequence is geometric (Do you multiply, or divide, the same amount from one term to the next?)
  2. Find the common ratio. (The number you multiply or divide.)
  3. Create a recursive formula by stating the first term, and then stating the formula to be the common ratio times the previous term.

The recursive formula is:

a_{1} = first term;  a_{n} = r • a_{n-1}  , where

  • a_{1} is the first term in the sequence
  • a_{n-1} is the term before the nth term  
  • r is the common ratio

∵ The geometric sequence is 2 , -10 , 50 , -250

∴ a_{1} = 2

- To find r divide the 2nd term by the first term

∵ r=\frac{a_{2}}{a_{1}}

∴ r=\frac{-10}{2}=-5

- Substitute the values of a_{1} and r in the formula above

∴  a_{1} = 2; a_{n} = (-5) • a_{n-1}

The recursive formula for this geometric sequence is:

a_{1} = 2; a_{n} = (-5) • a_{n-1}

Learn more:

You can learn more about the geometric sequence in brainly.com/question/1522572

#LearnwithBrainly

You might be interested in
Find the difference quotient and simplify your answer. f(x) = 4x − x2, f(4 + h) − f(4) h , h ≠ 0
Anon25 [30]

The difference quotient and simplification will be    = [4 -h-2x]

The given equation is as follows:   f(x)= 4x - x²

For finding the quotient and further simplification we must follow the following steps:

[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h

<h3>What is simplification of algebraic operations?</h3>

Getting the functions in their lowest terms is known as simplification.

Brackets will get open and solved further;

[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h

[f(x + h) - f(x)] / h = [4h - h² - 2x]/ h  

Finally dividing the whole equation with h;

                                = [4 - h - 2x] 

Learn more about algebraic operations,

brainly.com/question/12485460

# SPJ1

7 0
1 year ago
Find the slope of the line shown on the graph. Please help! :(
Anna [14]

Answer:

It's really easy just remember rise over run.

Step-by-step explanation:

so you rise 3 and run to the right 3

A great tip that helps me determine if it's positive or neagitve is if you go to the left then it's ALWAYS neagtive but if you go to the right then it's ALWAYS postive

7 0
3 years ago
Read 2 more answers
Can someone please help me
MaRussiya [10]

Answer:

The answer is B)

Step-by-step explanation:

Use the Distance Formula

d = sqr(1 + 3)^2 + (0 - 4)^2

d = sqrt(32)

d = 4*sqrt(2)


7 0
3 years ago
What's 3570 divided by 7​
mart [117]

Answer:

510

Step-by-step explanation:

\frac{3570}{7} = 510

7 0
3 years ago
Read 2 more answers
Two boys on bicycles start from the same place at the same time. One cyclist travels 15 miles per hour, the other travels 12 mil
11111nata11111 [884]

Answer:

v

Step-by-step explanation:

cxx

3 0
3 years ago
Other questions:
  • A bead is formed by drilling a cylindrical hole of 2mm diameter through a sphere with an 8mm diameter. Estimate the volume of th
    7·1 answer
  • Where would you use an inequality in the real world
    15·2 answers
  • A hair stylist charges $25.00 for a hair cut, plus an 8% sales tax rate. How much change will you receive is you pay $30.00
    12·1 answer
  • Please everyone help me!
    10·2 answers
  • Question 2<br> Salve for then in the measure of are GF
    10·1 answer
  • Will give brainliest.
    11·2 answers
  • Whats the common ratio of the geometric sequence 6, 36, 216,
    9·1 answer
  • 5+1000000000000000000
    12·2 answers
  • PROBLEM SOLVING The profit P (in millions of dollars) for a shoe manufacturer can be modeled by P= -21x3 + 46x where x
    7·1 answer
  • it takes 2/5 of cleaning solution to clean 3/4 of the kitchen floor. how much cleaning solution does it take to clean the entire
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!