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DochEvi [55]
3 years ago
12

Given the recursive formula for a geometric sequence find the common ratio, the first four terms, and the explicit formula.

Mathematics
1 answer:
Dahasolnce [82]3 years ago
4 0
Since a(n)=-3(a(n-1)) the common ratio is -3, and a(1)=-3 so

a(n)=-3(-3^(n-1)) so the first four terms are:

-3, 9, -27, 81
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What is equivalent to 1/2x+4x-1/2x+60
sergeinik [125]
I agree to what the other person said! Good Luck!
3 0
3 years ago
Find the 6th term of a geometric sequence with t1=5 and r = -1/2
Hoochie [10]
In this item, we are to calculated for the 6th term of the geometric sequence given the initial value and the common ratio. This can be calculated through the equation,
   
                 An = (A₀)(r)ⁿ ⁻ ¹ 
where An is the nth term, A₀ is the first term (in this item is referred to as t₀), r is the common ratio, and n is the number of terms. 

Substitute the known values to the equation,

                   An = (5)(-1/2)⁶ ⁻ ¹
                   An = -5/32

Hence, the answer to this item is the third choice, -5/32. 
5 0
3 years ago
How to do this I don't get it
garik1379 [7]
You split the figure into 2 pieces; then what you would do is just find the surface area or volume of the 2 separate figures and add them together! Hoped this helped!
7 0
3 years ago
Does it pay to ask for a raise? A national survey of heads of households showed the percentage of those who asked for a raise an
zvonat [6]

Answer:

Cross probability

Step-by-step explanation:

The type of probabilities remains to be determined. That is the question itself. The same problem is found in the book "Understanding basic statistics 7th edition of Brase".

I will assume that the three probabilities to find are:

a) p (woman asked for a raise)

b) p (received raise | asked for one)

c) p (received raise and asked for one)

So,

a) p(woman asked for a raise)

It is given in the statement, so it is simple statistics:

P_{WomA} =25%

b) p(received raise | asked for one)

It is also found in the statement, however, now the formula would be given by:

<em>p(received raise | asked for one) = p(received raise and asked for one) / p(asked for one)</em>

P_{WomB}=46%

c) p(received raise and asked for one)

For this case the formula is given differently and it is necessary to re-adjust formula B, as follows:

<em>p(received raise and asked for one) = p(received raise | asked for one) * p(asked for one)</em>

So,

P_{WomC} = 0.46*0.25 = 11.5%

p(received raise and asked for one) = 11.5%

7 0
3 years ago
What value of θ makes cosθ = sin70° a true statement?<br> A) 20° <br> B) 40° <br> C) 70° <br> D) 90°
Delvig [45]

Answer:

A) 20°

Step-by-step explanation:

Sine and cosine are co-function complements which means that value of sine of an angle is equal to the value of cosine of the complementary angles.

This can be represented by:

\sin\theta=\cos(90\°-\theta)

\cos\theta=\sin(90\°-\theta)

Given statement:

cos\theta=\sin70\°

Applying co-function complements

\cos\theta=\sin(90\°-\theta)

Since, we can represent 70° = 90°-20°

So

\cos20\°=\sin(90\°-20\°)  

Thus, \theta=20\° makes the statement true.

3 0
3 years ago
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