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larisa86 [58]
3 years ago
12

Find the length of each segment.

Mathematics
1 answer:
Naddika [18.5K]3 years ago
6 0

Answer:

yeah I'm sorry I dont understand this one either hun

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The first term of a geometric sequence is equal to a and the common ratio of the sequence is r.
ololo11 [35]

Answer: (a)  {a, ar, ar², ar³, ar⁴, ar⁵...}, (b)  arⁿ⁻¹

For part (a), the question gives us the first term a, and then asks us to apply the common ratio r six times.

In order for ar = a, the nth term of r will have to equal 0 (this implies that n is an exponent; thus giving us the first term a, as r = 1).

Since we use this method on the first term, we must use it for the next five, in which r gains an additional exponent for every consecutive value (nth term) thereafter.  

Ultimately getting: {a, ar, ar², ar³, ar⁴, ar⁵...}

For part (b), we first have to understand that the sequence does not start at 0, but at 1 for n. In order for ar = a, with n = 1, there needs to be subtraction of -1 within the exponent. So that arⁿ⁻¹

If we check and apply this, we can see that:

{ar¹⁻¹, ar²⁻¹, ar³⁻¹, ar⁴⁻¹, ar⁵⁻¹, ar⁶⁻¹...} = {a, ar, ar², ar³, ar⁴, ar⁵...} = arⁿ⁻¹ = Tn

4 0
3 years ago
Help Please!! I am not sure what to do?
Iteru [2.4K]

Answer:

10 < \sqrt{111} < 11

Step-by-step explanation:

The square root of 111 is approximately 10.536.

A number smaller than this is 10.

A number larger than this is 11.

5 0
3 years ago
For the function y = 4x - 11, what is the ordered pair for x = 2?
Nonamiya [84]

Answer:

(2, -3)

Step-by-step explanation:

Plug x = 2 into the equation y = 4x - 11

y = 4(2) - 11

y = 8 - 11

y = -3

Then, put x = 2 and y= -3 into an ordered pair.

(2, -3)

7 0
2 years ago
Read 2 more answers
Simplify the expression 4x + 9y + 3(x+y)
brilliants [131]

Answer:


Step-by-step explanation:

4x+9y+3x+3y

=7x+12y


7 0
3 years ago
Read 2 more answers
Which sequence of transformations will change figure PQRS to figure P′Q′R′S′?
Oliga [24]
A 180° degree rotation
8 0
3 years ago
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