What are the first three terms of the sequence represented by the recursive formula

1 answer:

4 0

A recursive formula designates the starting term, a1, and the nth term of the sequence, an , as an expression containing the previous term (the term before it), an-1. ... Find a recursive formula. This example is an arithmetic sequence (the same number, 5, is added to each term to get to the next term).

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How do I solve this

sdas [7]

$\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
-------------------------------\\\\
\cfrac{2x}{x^2+2x-24}-\cfrac{x}{x^2-36}\quad 
\begin{cases}
x^2+2x-24\implies (x+6)(x-4)\\
--------------\\
x^2-36\implies x^2-6^2\\
(x-6)(x+6)
\end{cases}$

$\bf \cfrac{2x}{(x+6)(x-4)}-\cfrac{x}{(x-6)(x+6)}\impliedby 
\begin{array}{llll}
\textit{thus our LCD is}\\
(x-6)(x+6)(x-4)
\end{array}
\\\\\\
\cfrac{[(x-6)2x]~-~[(x-4)x]}{(x-6)(x+6)(x-4)}\implies \cfrac{2x^2-12x-x^2+4x}{(x-6)(x+6)(x-4)}
\\\\\\
\cfrac{x^2-8x}{(x-6)(x+6)(x-4)}$

3 0

2 years ago

What is the greatest decimal in hundredths that can be rounded to 14.5? What is the least

olga55 [171]

Answer:

14.45 and 14.54

Step-by-step explanation:

Rule for rounding:

Round up if number is between 5 and 9
Round down if number is between 0 and 4

What numbers in hundredths can be rounded to 14.5?

14.45 to 14.49

and

14.50 to 14.54

From above we see that:

The greatest decimal is 14.54
The least decimal is 14.45

7 0

2 years ago

A(n) _____ is the set of possible values for a given attribute

Sladkaya [172]

I think this is the Domain. Since a domain is a group of numbers that can be entered in a function to create a valid output. They are set of all possible values of x which will satisfy a ffunction and output real y-values

6 0

2 years ago

Read 2 more answers

Need to round 402 to nearest ten and hundred

antoniya [11.8K]

The 0 in the number 402 is in the ten place. The number after it is 2. 2 is less than 5.

402 rounded to the nearest ten is 400

The 4 in the number 402 is in the hundreds place. The number after it is 0. 0 is less than 5.

402 rounded to the nearest hundred is 400

6 0

3 years ago

1. Isosceles triangles are similar.

Salsk061 [2.6K]

1. C never. never because isosceles triangles are similar if a base angle of one is congruent to a base angle of another.

2.A AAA Similarity Postulate. An equilateral triangle is equal on each side, also AAA Similarity Postulate is were it is all equal all around

I hope this helped!

5 0

2 years ago