1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yakvenalex [24]
3 years ago
13

The explicit rule for a sequence is an=14-9n What is the recursive rule for the sequence?

Mathematics
2 answers:
galina1969 [7]3 years ago
7 0

The explicit rule for the sequence is a_{n}=14-9n

Let us put n=1, we get

a_{1}=14-(9 \times 1)=5

Now let n=2,

a_{2}=14-(9 \times 2)=-4

Let n=3,

a_{3}=14-(9 \times 3)=-13

Similarly, in this manner we obtain a sequence as

5, -4, -13, -22,.....

Since we can clearly observe that the first term is '5' and common difference is '-9'.

So, we get recursive rule for the sequence as:

a_{n}=a_{n-1}-9 , where a_{1}=5.

natulia [17]3 years ago
6 0
You have to add it then divide it 
You might be interested in
Eliza volunteers at a nearby aquarium
pishuonlain [190]
It is 3٫100 miles right
8 0
3 years ago
What is the quality of 4x+27x=5
Nadya [2.5K]

Answer:

<h3>X=5/31=0.16</h3>

Step-by-step explanation:

Isolate x on one side of the equation.

4x+27x=31x (Combine like terms, group like terms, & Add.)

31x=5

31x/31=5/31 (Divide by 31 from both sides.)

5/31=0.16

x=5/31=0.16

In conclusion, the correct answer is x=5/31=0.16.

8 0
3 years ago
Simplify the rational expression. State any restrictions on the variable n^4-11n^2+30/ n^4-7n^2+10
djyliett [7]
To factor both numerator and denominator in this rational expression we are going to substitute n^{2} with x; so n^{2} =x and n ^{4} =  x^{2}. This way we can rewrite the expression as follows:
\frac{n^{4}-11n^{2} +30 }{n^{2}-7n^{2} +10 } =  \frac{ x^{2} -11x+30}{ x^{2} -7x+10}
Now we have two much easier to factor expressions of the form a x^{2} +bx+c. For the numerator we need to find two numbers whose product is c (30) and its sum b (-11); those numbers are -5 and -6. (-5)(-6)=30 and -5-6=-11.
Similarly, for the denominator those numbers are -2 and -5. (-2)(-5)=10 and -2-5=-7. Now we can factor both numerator and denominator:
\frac{ x^{2} -11x+30}{ x^{2} -7x+10} = \frac{(x-6)(x-5)}{(x-2)(x-5)}
Notice that we have (x-5) in both numerator and denominator, so we can cancel those out:
\frac{x-6}{x-2}
But remember than x= n^{2}, so lets replace that to get back to our original variable:
\frac{n^{2}-6 }{n^{2}-2 }
Last but not least, the denominator of rational expression can't be zero, so the only restriction in the variable is n^{2} -2 \neq 0
n^{2}  \neq 2
n \neq +or- \sqrt{2}
5 0
3 years ago
Read 2 more answers
10 times as many as blank tens is 50 tens or blank hundreds
maxonik [38]
The first one I believe is five because it says ten times as many as ___________ is fifty so you take five times ten you get fifty.

7 0
3 years ago
Read 2 more answers
Three times the sum of x and y increased by five times the product of x and y.
Bond [772]
3(x+y) +5 (xy)
U add parenthesis when they say “the sum, the difference, the product ...)
5 0
2 years ago
Other questions:
  • How can you use Place value when using partial quotients?
    15·1 answer
  • Original price: $55 Discount: Sale Price $46.75
    14·1 answer
  • Slope from two points 16,12
    11·1 answer
  • Find the median, first quartile, third quartile, interquartile range, and any outliers for each set of data.
    14·2 answers
  • A variable for 7 to the 3rd power
    7·2 answers
  • A rectangular prism has dimensions of 1/3, 3, and 5/3 in.
    11·1 answer
  • Given matrix A below, calculate det[A] twice using minors and cofactors
    12·1 answer
  • Plsss help I’m super stuck on this
    10·2 answers
  • What is the sum of all the integers between
    6·2 answers
  • Michael played a game of darts. He threw 14 darts and hit the target
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!