All categories

3 years ago

The 13th term of this geometric sequence is 16,384 and the first term is 4. what is the common ratio

1 answer:

3 0

A geometric sequence is a sequence with a common ratio multiplied by previous term to give the next. Lets call x the common ratio, so we know that 4 was multiplied by x to give the second term, and so forth until it was multiplied again and again by x until the 16384 was reached which happens to be the 13th term, that means that 4x was multiplied by x 12 more times to give 16384, that is:
4x^12 = 16384
x^12 = 4096
x = 4096^-12
x = 4.48 x 10^-44
that is the common ratio

You might be interested in

Please someone help me with this question for 4th grade thank youuuuuuuu

Ahat [919]

Witch one do you need help with

8 0

2 years ago

the length of the bottom of the triangle is X. Another more in 7 more than 4 times the length of the bottom of the triangle. The

melamori03 [73]

The expression for perimeter of triangle is 6x + 21

Solution:

Given that,

Let the length of the bottom of the triangle be "x"

Another side is 7 more than 4 times the length of the bottom of the triangle

Length of another side = 7 + 4x

The last side is 14 more than the bottom of the triangle

Length of last side = 14 + x

The perimeter of triangle is given as:

Perimeter = sum length of length of all 3 sides of triangle

$Perimeter = x + 7 + 4x + x + 14\\\\Combine\ the\ like\ terms\\\\Perimeter = 6x + 7 + 14\\\\Add\ the\ constants\\\\Perimeter = 6x + 21$

Thus expression for perimeter of triangle is 6x + 21

7 0

3 years ago

Solve 2x2 + 20x = −38.

Makovka662 [10]

Answer:

Correct Answer is C(−5 ±square root 6)

Step-by-step explanation:

2x^2+20x+38=0

2(x^2+10x+19)=0

x^2+10x+19=0

This is a quadratic equation here we have used following formula to find the roots of this equation

x=-b−±square root (b^2-4*a*c))/2*a......(1)

Here,

a=1

b=10

c=19

put values of a, b and c in equation (1)

x=(-10 ±square root(10^2-4*1*19))/2*1

x=(-10 ±square root(100-76))/2

x=(-10 ±square root(24))/2

x=(-10 ±square root(2*2*6))/2

x=(-10 ±2square root(6))/2

x=2(-5 ±square root(6))/2

x=-5 ±square root(6)

Hope this answer will help you

6 0

3 years ago

PLEASE HELLLLPPPP please just give the answer

butalik [34]

H+G+F=180 degrees
H+65+35=180
H=80
h/sinH=g/sinG
10/sin80=g/sin65
g=10sin65/sin80
I don’t have a calculator right now but that’s the answer

4 0

3 years ago

Notah is studying ocean animals. He learns that the sixgill

alexandr1967 [171]

As an editor, it’s considered that long sentences lower the absorption of content by your reader. (16

5 0

3 years ago