Answer:
an = n -27
Step-by-step explanation:
The general term (an) of an arithmetic sequence is given by the formula ...
an = a1 + d(n -1)
where a1 is the first term and d is the common difference.
Your sequence has a first term of a1 = -26 and a common difference of d = 1. Putting these values into the formula gives ...
an = -26 + 1(n -1)
This can be simplified to ...
an = n - 27
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Answer:
Factored form is
f(x)= (x-1)(x-3+√(-5))(x-3-√(-5))
Step-by-step explanation:
Given that
f(x)=x3−7x2+2x+4
To solve for x we factorise the right side
f(x)=x3−7x2+2x+4
Let us substitute x for various values to check whether remainder is zero.
i.e. f(1) = 1-7+2+4 =0
Hence x-1 is a factor
Do synthetic division to find the quotient
1 1 -7 2 4
1 -6 -4
----------------------
1 -6 -4 0
i.e. we get remainder 0 and quotient as
x^2-6x-4
Use completion of squares method to solve this
x^2-6x-4
= (x-3)^2+5=0
x-3= ±√(-5)
Or x=1,3+√(-5,) 3-√(-5,)
Are the roots
Factored form is
f(x)= (x-1)(x-3+√(-5))(x-3-√(-5))
