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
Tom [10]
3 years ago
10

Consider the following sequence

Mathematics
2 answers:
igor_vitrenko [27]3 years ago
6 0

Answer:

Solution given:

first term [a]=152

second term[b]=-76

common ratio[r]=\frac{-76}{152}=-1/2

now

for nth term ,we have

nth term =a {r}^{n -1}

now

7th term==152{-1/2}^{7 - 1}

=152×1/64=19/8

wlad13 [49]3 years ago
3 0

Answer:

a₇ =  2.375

Step-by-step explanation:

There is a common ratio r between consecutive terms, that is

r = \frac{-76}{152} = \frac{38}{-76} = \frac{-19}{38} = - \frac{1}{2}

This indicates the sequence is geometric with nth term

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 152 and r = - \frac{1}{2} , then

a_{n} = 152 (-\frac{1}{2}) ^{n-1} , so

a₇ = 152 (-\frac{1}{2}) ^{6} = 152 × \frac{1}{64} = 2.375

You might be interested in
Allison bought 15 donuts and 12 cupcakes at the bakery. Of these items, 2/3 of the donuts were glazed, and 4/6 of the cupcakes w
Mariulka [41]

Answer: 7

Step-by-step explanation: I had this question before

8 0
3 years ago
Read 2 more answers
How to write 637,853 in words
Nady [450]
Six hundred  thirty seven thousand eight hundred fifty  three 

4 0
3 years ago
Read 2 more answers
Solve the equation and explain each step using apropriate Properties<br> -4(3x+6)+6=-30
Lina20 [59]

Answer:

The answer is x=1

Step-by-step explanation:

-4(3x+6)+6=-30

-12x-24+6=-30

-12x-18=-30

-12x-18+18=-30+18

-12x=-12

-12x/-12=-12/-12

x=1

6 0
2 years ago
A planter weighs 2 pounds and holds 3 pounds of soil. write two equivalent expressions for the total weight of nine planters. th
Anastasy [175]
Planters = (2*9)+(3*9) = 45 the answer is 45
5 0
2 years ago
A house is 46.0 ft long and 50 ft wide, and has 8.0-ft-high ceilings. what is the volume of the interior of the house in cubic m
I am Lyosha [343]
Volume of house = 46*50*8=18400 ft^3
Each foot equals 0.3048 m. (exactly).
Therefore 1 ft^3 = 0.3048^3 m^3
Therefore volume of the interior of the house 
= 18400 ft^3 * .3048^3 m^3/ft^3
=18400*.3048^3 m^3
=521.0299772928 m^3
=521 m^3 (nearest m^3) ................(a)
or, in cubic centimeters
=521 m^3 * (100cm/m)^3
=521.0299772928 * 100^3 cm^3
=521029977.2928 cm^3
=521029977 cm^3  (nearest cm^3) .........(b)

Answer: see (a) and (b).
4 0
2 years ago
Other questions:
  • Can you help me with this problem
    6·2 answers
  • 2. A student measured the mass and volume of three different-sized samples of sand. He then calculated the
    12·1 answer
  • 7+8(3.2.2) what is the answer to this problem break it all the way down
    6·1 answer
  • Jamar rolls a 6-sided number cube with the numbers 1 through 6 on it. What is the
    8·2 answers
  • Who can get this if you can ill give you an brain thingy and i do need help on this
    14·2 answers
  • Write the equation of a line that is parallel to y = 2x and goes through point (2, 5).
    13·1 answer
  • Aziza has a triangle with two sides measuring 11 in. and 15 in. She claims that the third side can be any length as long as
    9·2 answers
  • 23.0 cm2
    7·1 answer
  • A store is having a sale in which the cost of any item is 35% off.
    12·1 answer
  • HELP ME!!!! MY HOMEWORK IS SOOO CONFUSING
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!