Answer:
The rule for given sequence is: a_n = -27+16n
And the 100th term is: 1573
Step-by-step explanation:
Given sequence is:
-11, 5, 21, 37, 53, ...
Here
First of all, we have to find if this is an arithmetic sequence
For that purpose, the common difference has to be found. Common difference, denoted by d, is the difference between consecutive terms of an arithmetic sequence
So,
As the common difference is same, the sequence is an arithmetic sequence
General rule for arithmetic sequence is:
Putting values
For 100th term,
Putting n=100
Hence,
The rule for given sequence is: a_n = -27+16n
And the 100th term is: 1573
Answer:
If D< 0, the roots of the quadratic equation will b complex.
Step-by-step explanation:
Let 
is the given quadratic equation.
So, if the Discriminant (D) = 
, the the equation will have only complex solutions.
Complex roots are represented in the form of 
1. <u> x represents the X axis (real) co ordinate,</u>
<u>y represents the Y axis (imaginary) coordinate</u>
<u />
<u />
2. Also, the graph of the with equation D < 0 NEVER CROSSES the X - axis, as there are no real roots of the equation, only complex roots.
3. Here. roots are always identical but are opposite in signs. Such pair or roots with opposite sign are called CONJUGATE PAIRS.
Answer:
2.33 kg
Step-by-step explanation:
If the baker needs to use 2.327 kilograms of blueberries, we are going to subtract the amount of the packages to the amount he needs and we'll see which is the smallest number.
In the case of 2.3, 2.327 - 2.3 = .027
In the case of 2.42, 2.327 - 2.42 = -0.09
In the case of 2.33, 2.327 - 2.33 = -0.003
In the case of 2.4, 2.327 - 2.4 = -0.07
Therefore, the closest amount to 2.327 is the 2.33 package.
