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
emmasim [6.3K]
3 years ago
9

Find the 6th term of the geometric sequence, given the first term and common ratio a1= 5 and r=3/2

Mathematics
1 answer:
uysha [10]3 years ago
6 0

<u>Answer</u>



37.96875



<u>Explanation</u>

In geometric sequence we use the formula below to find the nth of a sequence.


Tn = ar⁽ⁿ⁻¹⁾

Where a ⇒ first term

n ⇒ the term we are looking for

T₆ = 5 × (3/2)⁶⁻¹

= 5 × (3/2)⁵

= 5 × 243/32

= 1215/32

= 37 31/32

= 37.96875

You might be interested in
HCF(320, x) = 20, LCM(320, x) = 2240, then x =
HACTEHA [7]

Answer:

  140

Step-by-step explanation:

When working HCF and LCM problems, I like to think in terms of this little diagram:

  (a [ b ) c]

It shows me one of the numbers is ab, the other is bc, the HCF is b and the LCM is abc. "a" and "c" must be relatively prime for "b" to be the HCF.

__

Here, we're given ...

  b = 20

  ab = 320

  abc = 2240

Then ...

  c = abc/(ab) = 2240/320 = 7

  x = bc = 20(7) . . . . . . equivalently, x = (abc·b)/(ab) = (2240·20)/320

  x = 140

6 0
3 years ago
Solve - pv + 40 &lt; 65 for v<br> solve 7w - 3r = 15 for r
Katarina [22]

Answer:

v > -25/p

r = -5 +7/3 w

Step-by-step explanation:

- pv + 40 < 65

Subtract 40 from each side

- pv + 40-40 < 65-40

-pv < 25

Divide each side by -p  (remember to flip the inequality since we are dividing by a negative)

-pv/-p > 25/-p

v > -25/p


7w - 3r = 15

Subtract 7w from each side

7w-7w - 3r = 15-7w

-3r = 15-7w

Divide by -3

-3r/-3 = (15-7w)/-3

r = -5 +7/3 w

8 0
3 years ago
Help me please? its algerbra
Nitella [24]

Answer:

Option 1

Step-by-step explanation:

option 1=243

option 2=125

6 0
3 years ago
What is cos K<br> a) 25/7<br> b) 25/24<br> c) 7/25<br> d) 24/25
AVprozaik [17]

Answer: d)

Step-by-step explanation:

7 is the opposite

25 is the hypotenuse

24 is the adjacent

if u refer back to SOH CAH TOA

cos = adj divided by the hyp

cos K = 24/25

*please make sure to double check for yourself or get another person to look it over just incase*

8 0
2 years ago
Which equation best fits the graphed data?
fenix001 [56]

Answer:

hmm

Step-by-step explanation:

lettt meee thinkkkkkk

6 0
2 years ago
Other questions:
  • Which table shows y as DIRECTLY PROPORTIONAL to x?
    13·1 answer
  • You deposit $600 in a savings account. the account earn 4% simple interest per year.
    14·1 answer
  • What is the range of the graph?
    8·2 answers
  • Plz help me I will mark you brainlest​
    13·2 answers
  • 15 POINTSSS
    10·2 answers
  • The base of a triangular prism is a right triangle whose legs are 9 cm and 12 cm. The height of the prism is 33 cm. What is the
    15·1 answer
  • The diagram shows a translation of quadrilateral abcd <br> What is the symbolic representation
    15·1 answer
  • Please help for 15 Points
    15·2 answers
  • Which Choice has a digit in the ones place that is exactly twice the value of the digit in the hundreds place? A. 839 B. 798 C.
    5·1 answer
  • If 343* = 494-x, what is the value of x?<br><br> 5/8<br> 8/5<br> 2<br> 8
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!