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
Serga [27]
3 years ago
15

Find the first term and common ratio for the geometric sequence a2 =2.5,a4=62.5

Mathematics
1 answer:
fenix001 [56]3 years ago
6 0

Answer:

a1 = 0.5; common ratio = 5

Step-by-step explanation:

Let the common ratio = r

a2 = 2.5

a3 = 2.5r

a4 = 2.5r * r = 2.5r^2

We are told a4 = 62.5, so

2.5r^2 = 62.5

Divide both sides by 2.5

r^2 = 25

r = 5

a2 = a1 * r

a1 = a2/r = 2.5/5 = 0.5

Answer: a1 = 0.5; common ratio = 5

You might be interested in
How to draw line angle formula for acetic propionic anhydride?
dsp73
Acetic propionic anhydride, C5H8O3
 o  o
/  \/  \/
   ||  ||
   o  o

Ref. Pubchem

Note: next time, please post chemistry questions in appropriate section.

5 0
3 years ago
Which of the following theorems verified that angle xyz is congruent too angle uwv?
icang [17]

Answer:

Option B.  AA

Step-by-step explanation:

we know that

Angle-Angle (AA) Similarity Postulate, states that If two angles of one triangle are congruent to two angles of another, then the triangles must be similar

In this problem

<em>In the triangle XYZ</em>

∠X=70°

∠Y=90°

∠Z=90°-70°=20° (remember that angle X and angle Z are complementary)

<em>In the triangle UWV</em>

∠V=20°

∠W=90°

∠U=90°-20°=70° (remember that angle V and angle U are complementary)

therefore

Traingles XYZ and UWV are similar by AA Similarity Postulate

3 0
3 years ago
Prove: cos(3x)=sin(2x)
Vesnalui [34]

Answer:

Step-by-step explanation:

Step-by-step explanation:

By taking ( x = 18°)

<u>L.H.S</u>

cos(3x)=sin(2x)

cos(3x) = cos( 3X18°)= cos (54°)

            = cos[ 90° - (2x18°)]           ∵[  90°- (2x18°) = 54°]

            = ∴ sin ( 2x18°)

      As (x = 18°)

            = sin (2x) = R.H.S

7 0
2 years ago
Write the following as a single sine or cosine function of an angle
mezya [45]

Answer:

idk

Step-by-step explanation:

i wish i did

8 0
3 years ago
Read 2 more answers
Please help i don’t understand
olganol [36]

9514 1404 393

Answer:

  3

Step-by-step explanation:

Vertical angles share a vertex point, and have opposite rays for sides. In short, they are across the point of intersection from each other. Vertical angles do not have a common side (they are <em>not</em> adjacent).

The first part of the problem is to identify angle NCA. That is shown in red in the attachment. The vertical angle is across the point of intersection. It is angle 3.

5 0
3 years ago
Other questions:
  • If Earth's mass is 6 × 10^24 kilograms, and Jupiter's mass is 2 × 10^27 kilograms, which of these statements is true?
    9·2 answers
  • Nora has a coupon for $3 off of a calzone. She orders a beef and olive calzone, and her bill, with the discounted price is $9.49
    13·2 answers
  • 11 times 4 and 1 3rds
    10·1 answer
  • Notebooks come in four colors: red, blue, green and purple. They also come in two sizes, 5-subject and 3-subject. How many possi
    10·1 answer
  • Name Five countries through which the Equator passes
    11·2 answers
  • What is 3 divided by 248
    8·2 answers
  • 8.
    7·1 answer
  • Witch property of exponents must be used first to solve the expression (xy^2)1/3
    14·1 answer
  • Pls help me I’ll give thxs and brainiest if you answer correctly to both exercises
    13·2 answers
  • Simplify the expression (65 points)
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!