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kap26 [50]
2 years ago
9

Determine the common ratio and find the next three terms of the geometric sequence

Mathematics
2 answers:
viva [34]2 years ago
7 0

Answer:

BBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

murzikaleks [220]2 years ago
3 0

Answer:

Option (b) is correct.

The three terms of the GP are 12,12\sqrt{2},24 with common ratio \sqrt{2}

Step-by-step explanation:

Consider the given geometric sequence 3\sqrt{2},6,6\sqrt{2}......

Geometric sequence is a sequence of numbers where each term  is find by multiplying the previous one by a fixed number called the common ratio (r).

a,\ ar,\ ar^{2},\ ar^{3},\ ar^{4},\ \ldots

Consider the first two terms of the given GP.

a=3\sqrt{2},ar=6 thus r can be find by dividing ar by a,

thus the common ratio is r=\frac{6}{3\sqrt{2}}=\sqrt{2}

Now we have to find the next three terms of GP . so multiply r in given last term to obtain next three terms , we get ,

6\sqrt{2} \times \sqrt{2}=6\times 2= 12 \\\\\\12 \times \sqrt{2}= 12\sqrt{2}\\\\\\\12\sqrt{2} \times\sqrt{2}=24

Thus, the three terms of the GP are 12,12\sqrt{2},24 with common ratio \sqrt{2}.

Option (b) is correct.




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Step-by-step explanation:

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Step-by-step explanation:

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3 0
2 years ago
9(d − 93) = –36 d = _______
goldenfox [79]

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8 0
2 years ago
Create a list of steps, in order, that will solve the following equation.
Vlada [557]

Answer:

a = -3

Step-by-step explanation:

Solve for a:

2 (a + 5) - 1 = 3

Hint: | Distribute 2 over a + 5.

2 (a + 5) = 2 a + 10:

(2 a + 10) - 1 = 3

Hint: | Group like terms in 2 a - 1 + 10.

Grouping like terms, 2 a - 1 + 10 = 2 a + (10 - 1):

(2 a + (10 - 1)) = 3

Hint: | Evaluate 10 - 1.

10 - 1 = 9:

2 a + 9 = 3

Hint: | Isolate terms with a to the left hand side.

Subtract 9 from both sides:

2 a + (9 - 9) = 3 - 9

Hint: | Look for the difference of two identical terms.

9 - 9 = 0:

2 a = 3 - 9

Hint: | Evaluate 3 - 9.

3 - 9 = -6:

2 a = -6

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 2 a = -6 by 2:

(2 a)/2 = (-6)/2

Hint: | Any nonzero number divided by itself is one.

2/2 = 1:

a = (-6)/2

Hint: | Reduce (-6)/2 to lowest terms. Start by finding the GCD of -6 and 2.

The gcd of -6 and 2 is 2, so (-6)/2 = (2 (-3))/(2×1) = 2/2×-3 = -3:

Answer:  a = -3

8 0
2 years ago
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