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3 years ago

Geometric Sequence Pre-Calc Please help with questions highlighted in red

Mathematics

1 answer:

il63 [147K]3 years ago

7 0

Yeap, number 6 is growing the fastest, because 1.189 is the largest of the growth factor, now that's just the growth factor, no the growth rate.

growth rate will be 1.189 - 1, or 0.189, in decimal format, let's put it in percentage format, 0.189 * 100, or 18.9%.

and yes, you're correct again, 3 is shrinking fastest, because 0.78 is the smallest growth factor, so its growth rate is

0.78 - 1, or -0.22, is a negative rate, so if we put in decay term is just 0.22 in decimal format, let's put it in percentage format

0.22 * 100, or 22%.

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The first term of a geometric sequence is 15, and the 5th term of the sequence is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B24

sladkih [1.3K]

The geometric sequence is $15,9,\frac{27}{5},\frac{81}{25}, \frac{243}{125}$

Explanation:

Given that the first term of the geometric sequence is 15

The fifth term of the sequence is $\frac{243}{125}$

We need to find the 2nd, 3rd and 4th term of the geometric sequence.

To find these terms, we need to know the common difference.

The common difference can be determined using the formula,

$a_n=a_1(r)^{n-1}$

where $a_1=15$ and $a_5=\frac{243}{125}$

For $n=5$ , we have,

$\frac{243}{125}=15(r)^4$

Simplifying, we have,

$r=\frac{3}{5}$

Thus, the common difference is $r=\frac{3}{5}$

Now, we shall find the 2nd, 3rd and 4th terms by substituting $n=2,3,4$ in the formula $a_n=a_1(r)^{n-1}$

For $n=2$

$a_2=15(\frac{3}{5} )^{1}$

$=9$

Thus, the 2nd term of the sequence is 9

For $n=3$ , we have,

$a_3=15(\frac{3}{5} )^{2}$

$=15(\frac{9}{25} )$

$=\frac{27}{5}$

Thus, the 3rd term of the sequence is $\frac{27}{5}$

For $n=4$ , we have,

$a_4=15(\frac{3}{5} )^{3}$

$=15(\frac{27}{25} )$

$=\frac{81}{25}$

Thus, the 4th term of the sequence is $\frac{81}{25}$

Therefore, the geometric sequence is $15,9,\frac{27}{5},\frac{81}{25}, \frac{243}{125}$

5 0

3 years ago

What is the area of the parallelogram below? Use the formula A = bh. 8 ft 13 ft

GuDViN [60]

Answer:

Step-by-step explanation:

i think its 104

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3 years ago

A rectangular auditorium seats 13201320 people. the number of seats in each row exceeds the number of rows by 1414. find the num

antiseptic1488 [7]

Esssssskeeeeeeetit its litty gucci

6 0

3 years ago

What’s 4x4x2-4 in a fraction over 2

JulijaS [17]

Answer:

it should be 12/2 or 6 i believe

Step-by-step explanation:

4x4 = 8

8x2 = 16

16-4 = 12

8 0

3 years ago

Why do banks charge for transaction fees?

Step2247 [10]

Answer:

To make a profit and pay operating expenses, banks typically charge for the services they provide. When a bank lends you money, it charges interest on the loan. Even fee-free checking and savings accounts have some fees.

Step-by-step explanation:

have a nice day ;)

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3 years ago