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
Zepler [3.9K]
2 years ago
8

If the 4th and 7th terms of a GP are 250 and 31250 respectively. Find the two possible values of a and r

Mathematics
1 answer:
Over [174]2 years ago
5 0

Answer:

a = 2, r = 5

Step-by-step explanation:

Nth term of a GP = a×r^(n-1)

Where 'a' is the first term and 'r' is the common ratio

4th term = a×r^3 = 250

r^3 = 250/a

7th term = a×r^6 = 31250

a×r^6 = 31250

a×(r^3)^2 = 31250

a×(250/a)^2 = 31250

a×(62500/a^2) = 31250

62500/a = 31250

a = 62500/31250 = 2

a = 2

since r^3 = 250/a,

r^3 = 250/2 = 125

r = (125)^(1/3)

r = 5

You might be interested in
1.60 divided by 20
Nesterboy [21]
GIVE CREDIT TO ARIANNABUNNYB 12.5



5 0
3 years ago
Read 2 more answers
Can someone answer this question on percentage please.
Orlov [11]

Answer:

He sold 33.333 percentage of his crop.

Step-by-step explanation:

You have to do the math

3 0
2 years ago
Read 2 more answers
Why did Martin Luther write the 95 theses?
Georgia [21]
The 95 thesis was written to speak out against the wrongdoing of the church and the pope. All of the other answers don’t necessarily make sense, because he did not write it to be famous, to be the pope, etc.
8 0
3 years ago
I don't know i just need help with this quiz ok
ololo11 [35]
The answer is 73....
5 0
3 years ago
Chad and Victoria are playing a game with a quarter and a spinner divided into sixths numbered one through six each player spins
rodikova [14]
The simple way to do this is to multiply the number of outcomes of one object times the number of outcomes in the other object. In this case a quarter has 2 sides, heads and tails. Since the spinner has 6 sections, there are 6 outcomes.


With this we can do, 2x6=12.

Therefore there are 12 outcomes
8 0
2 years ago
Other questions:
  • Can you rephrase the question?
    10·1 answer
  • I got 4.9 and 40 i dont know if im right
    14·1 answer
  • HELP ASAP!!<br> Write a list of steps that are needed to find the measure of <br> ∠B
    8·1 answer
  • At Thursday’s basketball game, there were more than twice as many adult spectators as children. If x represents the number of ad
    11·2 answers
  • Solve x-5/7-2x=5-x/3+1<br>CAN ANYONE ANSWER​
    10·1 answer
  • What method would you choose to solve the
    9·1 answer
  • Eugene has to buy cupcakes for a picnic. He needs to make sure that there are more than 8 cupcakes so each of his friends gets a
    7·1 answer
  • Oliver bought 5 glow bracelets for each of his party guests and 2 glow bracelets to keep for himself. He bought a total of 37 gl
    13·1 answer
  • Jill paid $35 for a sweater. This was $5 less than twice what she paid for a pair of shorts. How much did Jill pay for the pair
    7·2 answers
  • A modern sculpture in a park contains a parabolic arc that
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!