What is the length of AS?

Write a recursive formula for the following arithmetic sequence. 8, 5, 2, −1,

Kamila [148]

Answer:

$a_{n}$ = $a_{n-1}$ - 3

Step-by-step explanation:

A recursive formula allows a term in the sequence to be found from the previous term by adding the common difference to it.

Here d = 5 - 8 = - 3, thus

$a_{n}$ = $a_{n-1}$ - 3 with a₁ = 8 ← recursive formula

8 0

4 years ago

How do i solve this exponential equation

Novay_Z [31]

Answer:

x = 0 or 1/2

Step-by-step explanation:

Solving an exponential equation of this nature with different bases and coefficients is always a bit of an ad hoc affair. Here, we can divide by the right side expression and make a substitution that turns it into a quadratic.

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$3\cdot16^x+2\cdot81^x=5\cdot36^x\\\\0.6\left(\dfrac{4}{9}\right)^x+0.4\left(\dfrac{9}{4}\right)^x=1\\\\\textsf{Let $z=\left(\dfrac{4}{9}\right)^x$}\\\\0.6z+\dfrac{0.4}{z}=1\qquad\text{after substitution}\\\\3z^2-5z +2 = 0\qquad\text{multiply by $5z$ and put in standard form}\\\\(3z-2)(z-1)=0\qquad\text{factor}\\\\z=\dfrac{2}{3}\quad\text{or}\quad z=1\\\\x=\dfrac{\log(z)}{\log(4/9)}=\boxed{\dfrac{1}{2}\quad\text{or}\quad 0}$

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Additional comment

A graphing calculator often solves these very nicely, especially when the equation is put into the form f(x) = 0.

3 0

2 years ago

Help :( someone can explain me

Inessa [10]

Answer:

B, C, D

Step-by-step explanation:

-2 is 8 spaces away from 6 so do the math for each possible answer and u get B,C,D.

B.

6 - (-2)

6 + 2 = 8

C.

| -2| = 2

6+2 = 8

D.

|-2+6|

2+6 = 8

6 0

3 years ago

which of the anwser choice shows the following numbers arranged from least to greatest? √37, -6.3, -1.6, √30, -√35

9966 [12]

Answer:

-35, -6.3, -1.6, 30, 37

Step-by-step explanation:

5 0

3 years ago

Español

Nat2105 [25]

Answer:

Solution,

Yesterday's price=$9.62

Today's price=$9.71

Price increased=9.71-9.62

 =$0.09

increased percent

=increased amount/old amount*100

=0.09/9.62*100

=0.9%

hope this helps...

good luck on your assignment..

3 0

3 years ago