All categories

3 years ago

Enter a recursive rule for the geometric sequence 4, -16, 64, -256 a1=_ ; an=

Mathematics

1 answer:

Savatey [412]3 years ago

5 0

Answer:

a1 = 4 , an = - $a_{n-1} *4$

Step-by-step explanation:

The first term is already given to us and a common ration between the terms is 4 and it is oscillating between positive and negative values so it must be mulitplied by a negative.

You might be interested in

Which of the following choices is the simple formula for the nth term of the following arithmetic sequence? 7, 3, -1, -5, -9, ..

Llana [10]

$7 -4n$ , as it starts with 7, and subtracts 4 each time.

7 0

3 years ago

Jenna bought 5 reams of paper at the store for a total of $21 . The tax on her purchase was $1 . Write a equation and solve to f

ludmilkaskok [199]

Answer:

The equation needed is $\textrm{Cost of 1 ream of paper} = \frac{20}{5}$

The cost per ream of paper = $4

Step-by-step explanation:

Here, the cost of 5 reams of paper = $ 21

The tax on her purchase = $1

So, the actual cost of 5 reams of paper = Total Cost paid - Tax amount

= $ 21 - $ 1 = $20

So, the actual cost of 5 reams of the paper is $20.

Now, to find out the cost of 1 ream of paper:

$\textrm{Cost of 1 ream of paper} = \frac{\textrm{Total amount paid for 5 reams}}{\textrm{ 5}} \\= \frac{20}{5} = 4$

= $4

Hence, the cost of each ream of paper = $ 4.

4 0

3 years ago

Suha is going to buy 150 envelopes.

Katyanochek1 [597]

Suha should buy 150 envelopes from shop 1 because the cost in shop 1 is 0.06 less shop 2.

Step-by-step explanation:

Total number of envelopes = 150

The cost of envelopes :

Pack of 25 envelopes in shop 1 = 3.49
Pack of 10 envelopes in shop 2 = 2.10
Buy 2 packs get 1 pack free in shop 2.

Shop 1 :

The number of packs to buy 150 envelopes = 150 /25 = 6 packs

The total cost to buy 6 packs = 6 × 3.49 = 20.94

The cost of 150 envelopes in shop 1 is 20.94

Shop 2 :

The number of packs to buy 150 envelopes = 150 /10 = 15 packs

For each 2 packs you get 1 pack free.
10 packs + 5 free packs = 15 packs

The total cost to buy 10 packs = 10 × 2.10 = 21

The cost of 150 envelopes in shop 2 is 21

The difference between shop 2 and shop 1 = 21 - 20.94 = 0.06

Therefore, the cost in shop 1 is 0.06 less than shop 2. So, Suha should buy 150 envelopes from shop 1.

8 0

3 years ago

Read 2 more answers

From the mid-1960s to the early 1990s, there was a slow but steady decline in SAT scores. For example, take the Verbal SAT. The

daser333 [38]

Answer:

a) 7.68%

b) 3.38%

Step-by-step explanation:

(a) Estimate the percentage of students scoring over 700 in 1967.

The probability that a student scored over 700 in 1967 equals the area under the Normal curve with mean 543 and standard deviation 110 to the right of 700.

In Excel this value is found with the formula

=1-NORMDIST(700,543,110,1)

and in OpenOffice Calc

=1-NORMDIST(700;543;110;1)

(NORMDIST(700;543;110;1) gives the area to the left of 700, so 1-NORMDIST(700;543;110;1) gives the area to the right of 700)

and equals 0.07675

So, the percentage of students scoring over 700 in 1967 was 7.68%

(b) Estimate the percentage of students scoring over 700 in 1994.

The probability that a student scored over 700 in 1994 equals the area under the Normal curve with mean 499 and standard deviation 110 to the right of 700.

In Excel this value is found with the formula

=1-NORMDIST(700,499,110,1)

and in OpenOffice Calc

=1-NORMDIST(700;499;110;1)

and equals 0.03383

So, the percentage of students scoring over 700 in 1994 was 3.38%

5 0

4 years ago

Help please 3x-10=56 79-y=2x work out x and y

Lana71 [14]

Answer:

3x-10=56

3x=56+10

3x=66

3x/3 = 66/3

x=11

79-y=2x

79-y=2(11)

79-y=22

79-22=y

y=57

therefore x=11 and y=57

5 0

2 years ago

Read 2 more answers

Enter a recursive rule for the geometric sequence 4, -16, 64, -256 a1=_____ ; an=____

Enter a recursive rule for the geometric sequence 4, -16, 64, -256 a1=_ ; an=