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Marianna [84]
4 years ago
7

Write an explicit furmula for the question below 40 points!!!!!!!!!!!!!

Mathematics
1 answer:
Usimov [2.4K]4 years ago
8 0

Answer:

aₙ = a₁ . 5⁽ⁿ⁻¹⁾

Step-by-step explanation:

The first term in the sequence is a₁ = 6.

a₂ = 30. a₃ = 150.

We see that each consecutive term is multiplies by 5 to arrive at the next term.

That is: a₂ = 30 = a₁ . $ 5^{2 - 1}  = 5 $ = 6.5 = 30.

Similarly, a₃ = 150 = 6 $ \times $ $ 5^{3 - 1} = 5^2 = 25 $

Generalizing this, we have:

aₙ = a₁ . $ 5^{n - 1} $

This is called the recursive formula of the sequence.

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What is 1/2 of 5/6??
ella [17]

Answer:

2.5/3

Step-by-step explanation:

3 0
3 years ago
How many onto functions are there from a set with three elements to a set with eight elements?
stiks02 [169]

Answer:

0 onto functions

Step-by-step explanation:

Let the sets be A\ and\ B such that:

n(A) = 3

n(B) = 8

Required

The number of onto functions

The condition for onto functions is:

For there to be an onto function from set A to set B, the number of elements of B must be less than the elements in set A

Since n(B) > n(A) i.e. 8 > 3

Then, there can't be onto functions from A to B

6 0
3 years ago
Rewrite the function f(x)=3(x-1)^2+9 in the form f(x)=ax^2+bx+c
Otrada [13]

Answer:

f(x) = 3x² - 6x + 12

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Expand by FOIL (First Outside Inside Last)
  • Standard Form: f(x) = ax² + bx + c
  • Vertex Form: f(x) = a(bx + c)² + d

Step-by-step explanation:

<u>Step 1: Define function</u>

Vertex Form: f(x) = 3(x - 1)² + 9

<u>Step 2: Find Standard Form</u>

  1. Expand by FOILing:                         f(x) = 3(x² - 2x + 1) + 9
  2. Distribute 3:                                      f(x) = 3x² - 6x + 3 + 9
  3. Combine like terms (constants):     f(x) = 3x² - 6x + 12
7 0
3 years ago
Solve for f <br> -f+2+4f=8-3f
Fed [463]
In a step by step fashion you solve the problem like so:

Move terms:
3f+2=8-3f

Combine like terms:
3f+3f=8-2

Divide
6f=6

Solution
f=1
4 0
3 years ago
Read 2 more answers
Consider the equation
timama [110]
27 and 64 lmk if it’s wrong
6 0
3 years ago
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