All categories

2 years ago

Find the first term and common ratio for the geometric sequence a2=-15 a4=-375

Mathematics

1 answer:

DedPeter [7]2 years ago

3 0

The first term and common ratio for the geometric sequence are -3 and 5 respectively

<h3>Geometric sequence</h3>

This are sequence that increases exponentially. The nth term of the 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

ar = -15

ar^3 = -375

Divide

r^2 = 375/15

r^2 = 25

r = 5

Determine the first term

a= -15/r

a = -15/5

a = -3

Hence the first term and common ratio for the geometric sequence are -3 and 5 respectively

Learn more on sequence here: brainly.com/question/6561461

#SPJ1

You might be interested in

Plz Answer ASAP!!! (20 Points)

Kaylis [27]

Equation is x= 558 t2/496

x=4.5

I got the answer from another brainly user asking the same question. Someone else answered it. I just typed your question into the search bar and got it. Good luck <3

3 0

4 years ago

YALL PLEASE HELP ME ASAP

victus00 [196]

Answer:

Step-by-step explanation:

Depreciates 14% per year so 100% - 14% is 86% or 0.86. Formula is (principal)(rate)^ years

6 0

3 years ago

Read 2 more answers

A LINE PASSES THROUGH THE POINTS. what is the EQUATION OF THE LINE? (2,-4) and (6,10)?

Natalija [7]

Hey there! :)

Answer:

y = 7/2x - 11

Step-by-step explanation:

Use the slope formula to calculate the slope:

$m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}$

Plug in the coordinates:

$m = \frac{10-(-4)}{6-2}$

Simplify:

$m= \frac{14}{4}$

$m = \frac{7}{2}$

Slope-intercept form is y = mx + b. Plug in the slope, as well as the coordinates of a point given to solve for b:

10 = 7/2(6) + b

10 = 42/2 + b

10 = 21 + b

10 - 21 = b

b = -11.

Write the equation:

y = 7/2x - 11

8 0

3 years ago

Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to

Tomtit [17]

Answer:

-5.7

Step-by-step explanation:

OUR EQUATION IS A QUADRATIC EQUATION

Let Δ be our dicriminant :

a= 1
b= 5
c= -4
Δ= 5²-4*1*(-4) =25 +16 =41≥0
so we have two solutions x and y
x= (-5-√41)/2 = -5.7

6 0

4 years ago

(I don't usually ask for help on Brainly, but I really suck at Radicals and I need help.

Artemon [7]

My first answer. Lots of parts for five minutes. Took me that long to decode the question. It looks like your multiplying where you're taking roots.

$(\sqrt[4]{7})^5 = (7^{\frac 1 4})^5 = 7^{\frac 5 4}
$

<span>Choice A. Next
</span>
$(3^{2/3})^{1/6} = 3^{ \frac 2 3 \times \frac 1 6 } = 3^{\frac 1 9} = \sqrt[9]{ 3} 


$

Choice B.

$\dfrac {2^{3/4} } {2 ^{1/2} } = 2^{3/4 - 1/2} = 2^{1/4} = \sqrt[4] {2}
$

Choice C

6 0

4 years ago

Read 2 more answers