All categories

3 years ago

In a geometric sequence, the term a n+1 can be smaller than the term a n

Mathematics

1 answer:

Rainbow [258]3 years ago

6 0

Do you mean a_(n+1), worded a sub (n+1)?

If so yes. If the function of the sequence is getting smaller or more negative with each term.

You might be interested in

Find all real values of $x$ such that $x^2-5x + 4=0$.

IRISSAK [1]

Answer:

Find the 58th term of the arithmetic sequence

−20

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Pleasantburg has a population growth model of P(t)=at2+bt+P0 where P0 is the initial population. Suppose that the future populat

yulyashka [42]

Answer:

The population will reach 34,200 in February of 2146.

Step-by-step explanation:

Population in t years after 2012 is given by:

$P(t) = 0.8t^{2} + 6t + 19000$

In what month and year will the population reach 34,200?

We have to find t for which P(t) = 34200. So

$P(t) = 0.8t^{2} + 6t + 19000$

$0.8t^{2} + 6t + 19000 = 34200$

$0.8t^{2} + 6t - 15200 = 0$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$0.8t^{2} + 6t - 15200 = 0$

So $a = 0.8, b = 6, c = -15200$

Then

$\bigtriangleup = 6^{2} - 4*0.8*(-15100) = 48356$

$t_{1} = \frac{-6 + \sqrt{48356}}{2*0.8} = 134.14$

$t_{2} = \frac{-6 - \sqrt{48356}}{2*0.8} = -141.64$

We only take the positive value.

134 years after 2012.

.14 of an year is 0.14*365 = 51.1. The 51st day of a year happens in February.

So the population will reach 34,200 in February of 2146.

6 0

3 years ago

If x is 5, then 6x= 1. 30x 2. 5x 3. 30

Fittoniya [83]

Answer:

Step-by-step explanation:

6*5=30

3 0

3 years ago

Read 2 more answers

Your doctor told you to eat 25 grams of fiber each day. You had 4 grams of fiber for breakfast. What percent of the 25 grams of

AlekseyPX

To answer the question, divide the fiber intake during breakfast by the total fiber intake prescribed by the doctor and multiply with 100%. With the given above,

(4 / 25) x 100% = 16%

Thus the fiber intake during breakfast constitutes 16% of the total fiber intake.

6 0

3 years ago

Read 2 more answers

HELPP PLEASEEEE ANYONE!!

Wewaii [24]

Answer:

kathryn= 6 years old

her mother= 38 years old

Step-by-step explanation:

kathryn=x

mother= x²+2

x²+2 +x=44

x=6

kathryn= 6 years old

her mother= 38 years old

4 0

3 years ago