All categories

3 years ago

Find the 14th term of the following geometric sequence. 5, 15, 45, 135, ...

Mathematics

1 answer:

dlinn [17]3 years ago

3 0

Answer:

7,971,615

Step-by-step explanation:

A geometric sequence is one in which the successive terms show a regular pattern of change defined by a common ratio i.e the division of the successive term with the previous term gives a constant known as the common ratio.

Where r is the common ratio, a is the first term and n is the number of term, the nth term Tn of a geometric sequence may be defined as

Tn = ar^(n-1)

where a = 5, r = 15/5 = 3

then T14 = 5 * 3(14 - 1)

= 7,971,615

You might be interested in

I WILL GIVE BRAINLIESTTT

larisa [96]

Answer:using the graph of a function you can find the value of f (x), all you need to do is locate on the x axis, the value, in this case 3, and we will find f (3), locate the number (3 ) on the x-axis and see what is the value of y that the function takes at that point, that will be the value f (3)

Step-by-step explanation:it’s a

b. The function f(x)=g(x)/h(x) will have a horizontal asymptote only if the degree of g is less than or equal to the degree of h.

8 0

2 years ago

Consider the following functions.G(x) = 4x2; f(x) = 8x(a)

noname [10]

Answer:

(a) B. G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.

(b) Every function of the form $4x^2+C$ is an antiderivative of 8x

Step-by-step explanation:

A function F is an antiderivative of the function f if

$F'(x)=f(x)$

for all x in the domain of f.

(a) If $f(x) = 8x$ , then $G(x)=4x^2$ is an antiderivative of f because

$G'(x)=8x=f(x)$

Therefore, G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.

Let F be an antiderivative of f. Then, for each constant C, the function F(x) + C is also an antiderivative of f.

(b) Because

$\frac{d}{dx}(4x^2)=8x$

then $G(x)=4x^2$ is an antiderivative of $f(x) = 8x$ . Therefore, every antiderivative of 8x is of the form $4x^2+C$ for some constant C, and every function of the form $4x^2+C$ is an antiderivative of 8x.

8 0

4 years ago

$23.77 with a 10% tip

Triss [41]

Answer:

$26.15 total

Step-by-step explanation:

23.77(1.1)=26.147

5 0

3 years ago

Read 2 more answers

90% of what number is 57

aliina [53]

To solve this, set up the equation, 90% of x being .9*x=57. Then, solve for x, x=57/.9= $6 \frac{1}{3}$ =6.333

4 0

3 years ago

Emanuel was charged \$32$32dollar sign, 32 for a 14\dfrac29 \text{ km}14

Degger [83]

Answer:

2.25

Step-by-step explanation:

because you have to divide 32 by 14 2/9 resulting in the the 14 2/9 to be 128/9 and then flipped, 9/128. Afterwards, cross out the the 32 and 128 since 32 is a factor of 128 to get 1 and 4.Then apply mutiplication 1/1 * 9/4= 9/4 or 2 1/4= 2.25

7 0

4 years ago