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lana [24]
2 years ago
14

List the next three terms in the following sequence:

Mathematics
2 answers:
weqwewe [10]2 years ago
7 0

Answer:

d

Step-by-step explanation:

strojnjashka [21]2 years ago
6 0

Answer:

The answer is D

Step-by-step explanation:

Each time sum of previous number and position of that previous number in given series, with the formula being:

previous number + position of previous number = next number

For example, 7 is in the 4th spot so 7+4=11.

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Mohamed decided to track the number of leaves on the tree in his backyard each year The first year there were 500 leaves Each ye
svetlana [45]

Answer:

The required recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

Step-by-step explanation:

Mohamed decided to track the number of leaves on the tree in his backyard each year.

The first year there were 500 leaves

Year \: 1 = 500

Each year thereafter the number of leaves was 40% more than the year before so that means

Year \: 2 = 500(1+0.40) = 500\times 1.4\\

For the third year the number of leaves increase 40% than the year before so that means

Year \: 3 = 500\times 1.4(1+0.40) = 500 \times 1.4^{2}\\

Similarly for fourth year,

Year \: 4 = 500\times 1.4^{2}(1+0.40) = 500\times 1.4^{3}\\

So we can clearly see the pattern here

Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is

f(n)= 500\times(1.4)^{n-1}\\

This is the required recursive formula to find the number of leaves for the nth year.

Bonus:

Lets find out the number of leaves in the 10th year,

f(10)= 500\times(1.4)^{10-1}\\\\f(10)= 500\times(1.4)^{9}\\\\f(10)= 500\times20.66\\\\f(10)= 10330

So there will be 10330 leaves in the 10th year.

3 0
3 years ago
Read 2 more answers
What is 73 divided by 8 equal in remainder???
olasank [31]

Answer:

9 remainder 1

Step-by-step explanation:

Not sure but uh... 73/8=9 remainder 1.

Is this what you are looking for?

4 0
2 years ago
Read 2 more answers
5x – (13 – x) >_9x – 7
ad-work [718]

Answer:

x<_2

Step-by-step explanation:

first off solve this like a regular equation the >_ dosent matter till later

so basically first multiply - by 13 and -x so you get -13 and x (multiplying two negatives = a positive)

so its 5x-13+x>_9x-7

add 5x and x to get 6x-13 on one side

then you get 6x-13>_9x-7 then subtract -9x from both sides

so its now -3x-13>_-7 add 13 so you get -3x>_6

then divide both sides by -3 (when you divide an equation with a >< or <_ >_ by a negative number that sign switches) so it will now be x<_2

that your final answer hope this helps :)

6 0
3 years ago
1. 3,742 x 6= help with step by step
xenn [34]

Answer: The answer is 22,452

Step-by-step explanation: Multiply 6×2 which will be 12

Put the 1 from the 12 on top of the 4 then do 4×6+1 it will equal 25

Then put the 2 on top of the 7 then do 7×6+2 it will equal 44

Then put the 4 on top of the 3 then do 3×6+4 it will equal 22

And that's how you get your answer.

5 0
3 years ago
The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm
Fed [463]

Answer:

Length = 15 cm, width = 12 cm, Perimeter = 54 cm

Step-by-step explanation:

The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm².

Length = 5x

Breadth = 4x

Area of rectagle,

A = bl

180 = 5x × 4x

180 = 20x²

x² = 9

x = 3

Length = 5x = 5(3) = 15 cm

Width = 4x = 4(3) = 12 cm

Perimeter of rectangel,

P = 2(l+b)

= 2(15+12)

= 54 cm

Hence, this is the required solution.

6 0
3 years ago
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