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Oksi-84 [34.3K]
3 years ago
15

Find an equation for the nth Term of a geometric sequence where the second and fifth terms or -8 and 512, respectively

Mathematics
2 answers:
velikii [3]3 years ago
8 0

Answer:

Tn = -4^n/2

Step-by-step explanation:

The formula for nth tern of a geometric sequence is given as:

Tn = ar^n-1 where;

a is the first term

r is the common ratio

n is the number of terms

Since we are looking for the nth term if the geometric sequence, we will write our answer as a function if 'n'.

Given the second and fifth terms to be -8 and 512, respectively, this can be interpreted as;

T2 = ar^2-1 = -8

T5 = ar^5-1 = 512

From the equations above, we have;

ar = -8... (1)

ar⁴ = 512

Dividing both equation, we have;

ar⁴/ar = -512/8

r³ = -64

r = -4

Substituting r = -4 into equation 1, we have;

a(-4) = -8

-4a = -8

a = 2

Since nth term Tn = ar^n-1

Substituting the value of a and r into the equation will give;

Tn = 2(-4)^n-1

2(-4^n × -4^-1)

2(-4^n × -1/4)

= -4^n/2

zhenek [66]3 years ago
5 0

Answer:

32

Step-by-step explanation:

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55. f(x) = x + 2; (1, -3)
Tems11 [23]

Answer:

F(x) = 3

Step-by-step explanation:

Just substitute x with 1 and you add it with 2 and your answer is three

3 0
3 years ago
What is the value of x<br><br> Triangle with sides 10 6 x-6
Grace [21]
Given that the triangle is a right angled triangle, to solve for x we shall use the Pythagorean theorem given by:
c^2=a^2+b^2
where:
c is the hypotenuse
a and b are the legs.
c=10
a=6
b=(x-6)
thus plugging the values in the equation and solving for x we get:
10^2=6^2+(x-6)^2
100=36+x^2-12x+36
100=x^2-12x+72
0=x^2-12x-28
factoring the above we get:
0=(x+2)(x-14)
hence
x=-2 or x=14
given that there is no negative distance then
x=14
thus the value of x is 14
5 0
3 years ago
15-(4m - 5) = 32 please help me
atroni [7]
The answer is = -3, hope this helps!
7 0
3 years ago
Read 2 more answers
Factorization of:
zubka84 [21]

Answer:

Step-by-step explanation:

2800: 2 * 2 * 2 * 2 * 5 * 5 * 7

75: 3 * 5 * 5

168: 2 * 2* 2 * 3 * 7

It's not really multiplication. It's more division.

Try 2800 as a sample. What you are trying to do is break this down into primes. The first prime is 2

2800/2 = 1400

1400 / 2 = 700

700 / 2 = 350

350 / 2 = 175. That's the end of what the 2s can do.

175 / 5 = 35

35/ 5 = 7 7 is a prime. You are done. Now run up the ladder.

2800: 2 * 2 * 2 * 2 * 5 * 5 * 7

75 is not an even number. It has no 2s. Go to 3

75 / 3 = 25.

25 / 5 = 5

That's the end

75: 3 * 5 * 5

Your calculator can be of great help. The rule is keep factoring until you get a decimal remainder. Move on to the next prime. Stop when the last division gives you a prime.

3 0
3 years ago
A certain brand of golf balls comes in packs of 24. Each pack has three yellow golf balls in it. Willam orders 360 golf balls on
iogann1982 [59]

Start by taking the total number of golf balls, 360, and dividing it by how many golf balls come in each pack, to find the number of packs.


360 ÷ 24 = 15


So there are 15 packs, each with 3 yellow golf balls.


15 · 3 = 45


Meaning 45 of the golf balls would be yellow



3 0
3 years ago
Read 2 more answers
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