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3 years ago

Can someone please help me with this

Mathematics

1 answer:

zalisa [80]3 years ago

5 0

49
Explaining: because it’s the same as the other side

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A playground is being designed where children can interact with their friends in certain combinations. If there is 1 child, ther

mariarad [96]

<h2>Answer:</h2>

Recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

<h2>Step-by-step explanation:</h2>

In the question,

The number of interaction for 1 child = 0

Number of interactions for 2 children = 1

Number of interactions for 3 children = 5

Number of interaction for 4 children = 14

So,

We need to find out the pattern for the recursive equation for the given conditions.

So,

We see that,

$a_{1}=0\\a_{2}=1\\a_{3}=5\\a_{4}=14\\$

Therefore, on checking, we observe that,

$a_{n}=a_{n-1}+(n-1)^{2}$

On checking the equation at the given values of 'n' of, 1, 2, 3 and 4.

At,

n = 1

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{1}=a_{1-1}+(1-1)^{2}\\a_{1}=0+0=0\\a_{1}=0$

which is true.

At,

n = 2

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{2}=a_{2-1}+(2-1)^{2}\\a_{2}=a_{1}+1\\a_{2}=1$

Which is also true.

At,

n = 3

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{3}=a_{3-1}+(3-1)^{2}\\a_{3}=a_{2}+4\\a_{3}=5$

Which is true.

At,

n = 4

$a_{n}=a_{n-1}+(n-1)^{2}\\a_{4}=a_{4-1}+(4-1)^{2}\\a_{4}=a_{3}+9\\a_{4}=14$

This is also true at the given value of 'n'.

Therefore, the recursive equation for the pattern followed is given by,

$a_{n}=a_{n-1}+(n-1)^{2}$

3 0

3 years ago

Furkat [3]

Answer: A IS CORRECT

Step-by-step explanation:

6 0

3 years ago

Sally has 2 cats and each cat eats 1/4 of a tin of cat food each day.

Mashutka [201]

If one cat eats 1/4 of a tin per day then two cats eat 1/2 of a tin per day.

We have 9 tins so if each day cats eat 1/2 we have to divide 9 with 1/2 and we get 18 which is for how many days she can feed the cats until she runs out of food.

Hope this helps.

5 0

4 years ago

Read 2 more answers

6 × (9 + 9)

Aleksandr [31]

Answer:

Step-by-step explanation:

Becuz 9+9=17, which is the sum of 9 and 9.

4 0

3 years ago

Read 2 more answers

The sales force at a certain company successfully closed 96 out of 200 sales calls. What was their percent success rate?

Masja [62]

Answer:

48%

Step-by-step explanation:

In order to find the percentage, we'll have to divide the number of successful sales by the total number of sales.

$\frac{96}{200}$ = 0.48

0.48 written as a percentage is 48%

3 0

4 years ago

Can someone please help me with this ​

Can someone please help me with this