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3 years ago

These are the first six terms of a sequence with a = 2:

Mathematics

1 answer:

inn [45]3 years ago

7 0

Answer:

$a_{n}$ = 9 $a_{n-1}$

Step-by-step explanation:

Note there is a common ratio r between consecutive terms of the sequence, that is

r = 18 ÷ 2 = 162 ÷ 18 = 1458 ÷ 162 = 13122 ÷ 1458 = 9

A recursive formula allows a term in the sequence to be found by multiplying the previous term by the common ratio, that is

$a_{n}$ = 9 $a_{n-1}$ with a₁ = 2

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Finger [1]

Answer:

x ---- y

1 ---- 3

4 ---- 12

6 ---- 18

Step-by-step explanation:

Given

$y = 3x$

Required

Create a table that represents this scenario

Because x represents time, x can not be negative. So, the domain of x is:

$x \geq 0$

Assume $x = 1$

$y = 3 * 1 = 3$

Assume x = 4

$y=3*4 = 12$

Assume x = 6

$y=3*6 = 18$

Hence, the table is:

x ---- y

1 ---- 3

4 ---- 12

6 ---- 18

4 0

3 years ago

Your co-worker, Amanda, and you are reliving your high school athletic "glory days" during a coffee break. She played basketball

topjm [15]

Answer:

Our score = 0.60, Amanda's score = 0.25

Step-by-step explanation:

For Amanda

μ = 15 , σ = 4

z- score for X = 16 is (From z table)

z = (X - μ)/σ = (16 - 15)/4 = 0.25

For us

μ = 310 , σ = 25

z score for X = 325 (From z table)

z = (325-310)/25 = 0.60

Since our z score is better than Amanda's z score, we can say we did better

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3 years ago

Miri counted her money and found that her 25 coins which were nickels, dimes, and quarters were worth $3.20. the number of dimes

Natasha_Volkova [10]

Nickels = x

dimes = x + 4

quarters = x

Value of coins:

nickel = 5 cents

dime = 10 cents

quarter = 25 cents

5x + 10(x + 4) + 25x = 3.20

5x + 10x + 40 + 25x = 320

40x = 320 - 40

40x = 280

x = 280/40

x = 7

There are 7 quarters, 7 nickels and 11 dimes.

4 0

3 years ago

Order the integers from least to greatest. *

monitta

It’s D that is the answer

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3 years ago

After completing the fraction division 5 divided by five-thirds, Miko used the multiplication shown to check her work. 3 times f

Dmitry [639]

Step-by-step explanation:

5 divided by five-thirds can be written in the fractional form is as follows :

$\dfrac{5}{\dfrac{5}{3}}$