Consider this sequence: -81.-54, 36, -24....

1 answer:

5 0

Answer:

See below in bold.

Step-by-step explanation:

It looks like the third term should be -36.

The sequence is geometric.

The common ratio is -54/-81 = -36/-54 = -24/-36 = 2/3 .

The sum of the first 5 terms is

(-81) * (1 - (2/3)^5) / (1 - 2/3)

= -81 * 211/243 * 3

= -211.

You might be interested in

oksian1 [2.3K]

Answer:

(a) 0.0001 or 0.01%

(b) 0.01 or 1%

Step-by-step explanation:

Since there are 10 possible numeric digits (from 0 to 9), and there is only one correct digit, there is a 1 in 10 change of getting each digit right.

The probability that if you forget your PIN, then you can guess the correct sequence

(a) at random:

$P=(\frac{1}{10})^4=0.0001=0.01\%$

(b) when you recall the first two digits.

$P=(\frac{1}{10})^2=0.01=1\%$

7 0

2 years ago

Rama09 [41]

3x - 5 1/2 is the expression

5 0

3 years ago

mojhsa [17]

Answer:

The function has been flipped due to the negative in front.

The function has been shifted 17 units to the left.

The function has been shifted 4.3 units down.

Step-by-step explanation:

When functions are transformed there are a few simple rules:

Adding/subtracting inside the parenthesis to the input shifts the function left(+) and right(-).
Adding/subtracting outside the parenthesis to the output shifts the function up(+) and down(-).
Multiplying the function by a number less than 1 compresses it towards the x-axis.
Multiplying the function by a number greater than 1 stretches it away from the x-axis.
Multiplying by a negative flips the graph.

The graph of $(-2^{x+17}) -4.3$ compares to $2^x$ in the following ways: