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mixer [17]
3 years ago
7

Complete the recursive formula of the arithmetic sequence -15, -11, -7, -3,...−15,−11,−7,−3,...minus, 15, comma, minus, 11, comm

a, minus, 7, comma, minus, 3, comma, point, point, point.

Mathematics
1 answer:
o-na [289]3 years ago
4 0

Answer:

c(1) = -15

c(n) = c(n - 1) + 4

Step-by-step explanation:

Given arithmetic sequence is,

-15, -11, -7, -3...........

Common difference between each successive and previous term is,

d = -11 - (-15)

  = -11 + 15

  = 4

Since recursive formula of the arithmetic sequence is represented by,

a₁ = First term of the sequence

a(n) = a(n - 1) + d

where a(n) is the nth term and a(n-1) is the previous term of the nth term.

Form the given sequence,

c₁ = -15

c(n) = c(n - 1) + 4

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What are the possible values of the missing term in the geometric sequence?<br> 4, _, 9, ...
pashok25 [27]
<h3>Two possible answers: 6 or -6</h3>

==========================================================

Explanation:

r = common ratio

To get any term in a geometric sequence, we multiply the previous term by r.

So that means 4r is the second term, since 4 is the first term.

The third term is (4r)*r = 4r^2, which is equal to 9 as given to us.

4r^2 = 9

4r^2 - 9 = 0

(2r)^2 - (3)^2 = 0

(2r - 3)(2r + 3) = 0  ... difference of squares rule

2r-3 = 0 or 2r+3 = 0

2r = 3 or 2r = -3

r = 3/2 or r = -3/2

r = 1.5 or r = -1.5

We can use each r value to find the possible second term

S = 4r = 4*(1.5) = 6

S = 4r = 4*(-1.5) = -6

The second term is either 6 or -6.

We could have this sequence: 4, 6, 9, ...

Or we could have this sequence: 4, -6, 9, ...

4 0
3 years ago
-6=2n-n please help I hate math ​
Crank

Answer:

-6 = n

Step-by-step explanation:

-6=2n-n

Combine like terms

-6 = n

4 0
3 years ago
Read 2 more answers
Please help me asap​
Bad White [126]

Answer:

I think that it would be the first option because if you were to reduce 6/8 by 2 you would get 3/4 making it equal

6 0
3 years ago
Read 2 more answers
Calculate the number of integers divisible by 4 between 50 and 500, inclusive.
seropon [69]
50 = 4*12.5
500 = 4*125

There are 125 -12 = 113 numbers between 50 and 500 that are divisible by 4.
3 0
3 years ago
The growth in population of a city can be seen using the formula p(t) = 9768e0.003t, where t is the number of years. according t
Marysya12 [62]
135.2 years because if you plug 135.2 in for t it is the closest tenth of a year to 14,652.
3 0
3 years ago
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