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3 years ago

6. Write a formula to represent the nth term of the sequence: 3, 6, 12, 24, 48, 96,...

Mathematics

2 answers:

horrorfan [7]3 years ago

5 0

Given :

The sequence is given as : 3, 6, 12, 24, 48, 96,...

To Find :

A formula to represent the nth term of the given sequence.

Solution :

Breaking down each term we get :

3 = 3 × 2⁰ 1 - term

6 = 3 × 2¹ 2 - term

12 = 3 × 2² 3 - term

24 = 3 × 2³ 4 - term

48 = 3 × 2⁴ 5 - term

From above observation we can say that n th term is given by 3 × 2ⁿ⁻¹ .

Therefore, the nth them of the sequence is given by ( 3 × 2ⁿ⁻¹ ) .

mario62 [17]3 years ago

3 0

Answer:

Step-by-step explanation:

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Dimas [21]

Answer:

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Step-by-step explanation:

First, note you can remove the brackets, in this case they contribute nothing at all.

Then, group the like terms and add them, e.g., we have 3r³ and -2r², they add up to r³.

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3 years ago

0.2 ✕ -0.5 ✕ ( -0.9- -0.7)

Luba_88 [7]

Answer:

0.02

Step-by-step explanation:

$0.2\times -0.5\times (-0.9 - -0.7)= \\\\0.2\times -0.5 \times (-0.2)= \\\\0.02$

Hope this helps!

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4 years ago

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stealth61 [152]

4 x 7= 28

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4 years ago

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artcher [175]

Answer:

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Step-by-step explanation:

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3 years ago

By [n][n] we denote the set {1,…,n}. A function f:[m]→[n] is called monotone if f(i) \leq f(j)f(i)≤f(j)whenever i < ji

Dafna11 [192]

Answer:

There are a total of ${ 6 \choose 3} = 20$ functions.

Step-by-step explanation:

In order to define an injective monotone function from [3] to [6] we need to select 3 different values fromm {1,2,3,4,5,6} and assign the smallest one of them to 1, asign the intermediate value to 2 and the largest value to 3. That way the function is monotone and it satisfies what the problem asks.

The total way of selecting injective monotone functions is, therefore, the total amount of ways to pick 3 elements from a set of 6. That number is the combinatorial number of 6 with 3, in other words

${6 \choose 3} = \frac{6!}{3!(6-3)!} = \frac{720}{6*6} = \frac{720}{36} = 20$

3 0

3 years ago

6. Write a formula to represent the nth term of the sequence: 3, 6, 12, 24, 48, 96,...​

6. Write a formula to represent the nth term of the sequence: 3, 6, 12, 24, 48, 96,...