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Firlakuza [10]
3 years ago
8

10+22+34+...+422=S Help

Mathematics
1 answer:
Damm [24]3 years ago
3 0

Answer:

46

Step-by-step explanation:

Its adding 12 each time

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the 11th term in a geometric sequence is 48 and the common ratio is 4. the 12th term is 192 and the 10th term is what?
Soloha48 [4]

<u>Given</u>:

The 11th term in a geometric sequence is 48.

The 12th term in the sequence is 192.

The common ratio is 4.

We need to determine the 10th term of the sequence.

<u>General term:</u>

The general term of the geometric sequence is given by

a_n=a(r)^{n-1}

where a is the first term and r is the common ratio.

The 11th term is given is

a_{11}=a(4)^{11-1}

48=a(4)^{10} ------- (1)

The 12th term is given by

192=a(4)^{11} ------- (2)

<u>Value of a:</u>

The value of a can be determined by solving any one of the two equations.

Hence, let us solve the equation (1) to determine the value of a.

Thus, we have;

48=a(1048576)

Dividing both sides by 1048576, we get;

\frac{3}{65536}=a

Thus, the value of a is \frac{3}{65536}

<u>Value of the 10th term:</u>

The 10th term of the sequence can be determined by substituting the values a and the common ratio r in the general term a_n=a(r)^{n-1}, we get;

a_{10}=\frac{3}{65536}(4)^{10-1}

a_{10}=\frac{3}{65536}(4)^{9}

a_{10}=\frac{3}{65536}(262144)

a_{10}=\frac{786432}{65536}

a_{10}=12

Thus, the 10th term of the sequence is 12.

8 0
3 years ago
Can you guys please answer this thank you
11111nata11111 [884]

Answer:F B G E A

Step-by-step explanation:

1. F( a rigid transformation only changes the position but the size and angles remain the same)

2. B(The angle of rotation symmetry is the smallest angle the figure can be rotated to coincide with itself.)

3. G(Congruent means that it is the same size and shape)

4. E(Translation moves the whole shape including the points so that the shape and sizes remain the same)

5. A(Though it's position may change, reflective symmetry ensures that no other parts of the shape can change no matter what.)

3 0
2 years ago
The new balance of a charge account is $145.00. The minimum payment is $20.00. If the interest rate is 1.5%, how much will the n
juin [17]
The balance is $145 but after one makes he minimum payment of $20, there is $125 left to pay. However interest is added before the next month’s bill is generated.

Remember that percent means out of 100. 1.5% means 1.5/100 = .015

To find 1.5% of 125 we multiply (.015)(125) = 1.875 But as this is money the interest is rounded to two decimal places and so is $1.88

We add this to 125 to get next month’s balance which is 125 + 1.88 = $126.88
3 0
3 years ago
Craig just purchased a new car. He financed $45000 and must pay it back over 5 years with 11% interest. a) How much will craig h
nignag [31]

Answer:

49950

Step-by-step explanation:

111% of 45000 is 49950

5 0
3 years ago
Read 2 more answers
Which expression can be used to model the statement “On Wednesday, Nathaniel earned $10 less than he earned on Tuesday”?
Nostrana [21]

Answer:

n mimus 10

Explicacion paso a paso:

6 0
2 years ago
Read 2 more answers
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