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
Andreyy89
3 years ago
6

Express the terms of the following geometric sequence recursively.

Mathematics
1 answer:
BabaBlast [244]3 years ago
4 0

Answer:

The most correct option for the recursive expression of the geometric sequence is;

4. t₁ = 7 and tₙ = 2·tₙ₋₁, for n > 2

Step-by-step explanation:

The general form for the nth term of a geometric sequence, aₙ is given as follows;

aₙ = a₁·r⁽ⁿ⁻¹⁾

Where;

a₁ = The first term

r = The common ratio

n = The number of terms

The given geometric sequence is 7, 14, 28, 56, 112

The common ratio, r = 14/7 = 25/14 = 56/58 = 112/56 = 2

r = 2

Let, 't₁', represent the first term of the geometric sequence

Therefore, the nth term of the geometric sequence is presented as follows;

tₙ = t₁·r⁽ⁿ⁻¹⁾ = t₁·2⁽ⁿ⁻¹⁾

tₙ =  t₁·2⁽ⁿ⁻¹⁾ = 2·t₁2⁽ⁿ⁻²⁾ = 2·tₙ₋₁

∴ tₙ = 2·tₙ₋₁, for n ≥ 2

Therefore, we have;

t₁ = 7 and tₙ = 2·tₙ₋₁, for n ≥ 2.

You might be interested in
Which expression is 7 times as large as the expression 596+88.
egoroff_w [7]
<span>7*(596+88

Is Your Answer</span>
6 0
3 years ago
Read 2 more answers
Danielle earns a 7.75% commission on everything she sells at the electronics store where she works. She also earns a base salary
In-s [12.5K]

y = .0775x + 700

y = .0775(4,000) + 700

y = 310 + 700

y = 1,010

danielle earned $1,010 last week if she sold $4,000 in electronics merchandise.

3 0
3 years ago
Angles are always measured in degrees.​
koban [17]
No angles are not always measured in degrees
4 0
3 years ago
Read 2 more answers
2. I pay $4.00 for my train fare everyday. This week, my train
valkas [14]

Answer: Your new train fare would be 4.40 or if its talking week pay wise its 30.8

5 0
2 years ago
Read 2 more answers
X/12=-7 what's the answer? show work
Leno4ka [110]

Answer:

X = - 84

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • What is the value of the function 3/2t - 5/2 when t = 3?
    7·1 answer
  • What is the 4th term in the sequence? <br><br> C(1)=56<br> C(n)= c(n-1)•1/2
    13·1 answer
  • Can someone break this down for me!! I'm stuck
    12·1 answer
  • IS 6 THREE FOURTHS DIVIDED BY NINE DIVIDED BY 10 EQUAL TO 6 THREE FOURTHS DIVIDED BY NINE TENTHS
    11·2 answers
  • Whick is larger 3kL or 30000 L?
    13·2 answers
  • you are given a prescription for a hundred mL of a 15% hydrochloric acid solution the pharmacy carries 90% Hydrochloric solution
    5·1 answer
  • Find the value of x.<br> 75°<br> (11x – 5)º<br> The value of x is
    5·1 answer
  • If P is in the interior of ∠XYZ, ∡XYP=35°∡PYZ=60° then ∡XYZ
    11·1 answer
  • Someone please help me with this
    7·2 answers
  • Edmond toured New York City with his family. They started their tour at 3:05 P.M. at the Empire State Building, where they spent
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!