Find an explicit rule for the nth term of the sequence.
1 answer:
Answer:
= - 4 ×
Step-by-step explanation:
Note there is a common ratio between consecutive terms in the sequence.
r = - 8 ÷ - 4 = - 16 ÷ - 8 = - 32 ÷ - 16 = 2
This indicates that the sequence is geometric with n th term
= a
where a is the first term and r the common ratio
Here a = - 4 and r = 2, thus
= - 4
← explicit rule
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The step in which Yvonne first makes an error while solving the quadratic equation by completing the square in step 1.
<h3>What is a quadratic equation?</h3>A quadratic equation is an equation in which the highest power of the variable is two.
Yvonne is solving the quadratic equation, which is,
6x² +24x +7 =0
He is solving the above equation by completing the square.
The first step to solving this quadratic equation by completing the square is, Take the constant value 7 at the opposite side of the equation as,
6x² +24x = -7
Here, the number seven was a positive number, which we have changed to negative because this number brings the other side of the equation.
In the image attached below, the first step of the Yvonne while solving the equation by completing the square is,
6x² +24x = 7
Here, Yvonne does not change the sign of the number 7 while taking it to another side of the equation.
Hence, the step in which Yvonne first makes an error while solving the quadratic equation by completing the square is step 1.
The table is attached with the answer below
Learn more about the quadratic equation here;
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17)
18)
19)
20)
Step-by-step explanation:
17) The difference between a number and 8 is 11
Let number = x
then the equation will be:
Solving:
18) Nine less than a number is five.
Let number = x
then the equation will be:
Solving:
19) Seven is equal to a number plus 6
Let number = x
then the equation will be:
Solving:
20) The sum of a number and -4 is -18
Let number = x
then the equation will be:
solving:
Keywords: Algebraic Expressions
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