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ANEK [815]
3 years ago
15

Find the sum of the following infinite sequence: 8, 2, .5, …

Mathematics
1 answer:
lubasha [3.4K]3 years ago
3 0
Answer:
10.67

Explanation:
The given series is a geometric series:
8 , 2 , 0.5 , ...... etc

The general formula of the geometric sequence is:
a1 , a1*r , a1*r² , ......

Comparing the general form with the given, we would find that:
a1 = 8
a1 * r = 2
Therefore:
8*r = 2
r = 2/8 = 0.25

We can double check using another term as follows:
a1 = 8
a1*r² = 0.5
8r² = 0.5
r² = 0.5/8 = 0.0625
r = √0.0625 = 0.25

Now, we will get the sum of the sequence as follows:
S = \frac{a1}{1 - r} = \frac{8}{1 - 0.25} = 32/3 = 10.67

Hope this helps :)
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Scott is ordering 6 bags of cat food from canada. each bag has a mass of . to determine the shipping costs, scott needs to know
OLEGan [10]

The weight of the cat food in pounds is 99 lbs.

<h3>What is a pound?</h3>

The pound, sometimes known as pound-mass, is a unit of mass that is used in both the British imperial and American customary measurement systems.

<h3>How do we convert kg to pounds?</h3>

You multiply a weight by the conversion factor 2.2046 to change a mass measurement from kilograms (kg) to pounds (lbs).

Given that,

Mass of each bag = 7.5 Kg.

Number of bags bought = 6

Firstly, we need to find how much the cat food weighs:

Total weight of cat food = 6 × 7.5

Total weight of cat food = 45kg

Next, we will require to convert the kg into pounds:

1kg = 2.2lb

45 kg = 45* 2.2

45 kg = 99 lbs

Therefore, the weight of the cat food in pounds id 99lbs.

To learn more about pound, visit:

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3 0
1 year ago
Ryan is buying batteries for his remote control cars. Charge Zone batteries cost $15.80 for 20 batteries. Electrocell batteries
Montano1993 [528]

Answer:

Charge Zone

Step-by-step explanation:

If Charge Zone (CZ) costs 15.80 for 20, and Electrocell batteries (EB) costs 8.10 for 10 batteries, you would find the price and quantity amount by multiplying by two. 8.10x2= 16.20, which is more than CZ.

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2 years ago
HELP I'm very bad at story questions lolol
Mila [183]

1ST  Piece  =======>    2x ======>  2  *   3 ft.  ======>   6 ft.

2ND  =========>    5x        =======>    5  *  3 ft.   ======>  15 ft.

3RD  ==========> 4 Feet     =======> 4 ft.

Sum  ======>    25 Feet



Equation:

(2x    +    5x)       +     (4)       =        25


Let's solve your equation step-by-step.

2x       +      5x      +      4     =       25

Step 1: Simplify both sides of the equation.

2x       +         5x       +       4       =      25

(2x      +      5x)         +         (4)       =     25         (Combine Like Terms)

7x       +      4      =       25

7x        +      4       =     25

Step 2: Subtract 4 from both sides.

7x       +      4       −       4      =     25     −    4

7x     =      21

Step 3: Divide both sides by 7.

7x / 7       =         21 / 7

Answer ========>          x        =         3




Check:

(2x    +    5x)       +     (4)       =        25

2(3)   =    6

5(3)    =   15

3rd  Piece  =    4

Sum  =      25

6ft.    +      15ft.       +      4ft       =     25

25             =                    25




Hope that helps!!!!!!!!!!!!!                                              : )






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Answer:

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