The formula f(x+1)=f(x) means that
(remark
)
we need a starting point so say
and
, to complete the recurrence relation.
This definition produces the constant sequence c, c, c, c, c, ....
answer:
, where c is a constant
Answer: 7.40
The eight gets rounded up to ten, so add one to three and you get 7.40
Given the question "<span>Which algebraic expression is a polynomial with a degree of 2?" and the options:
1).
2).
3).
4).
A polynomial </span><span>is
an expression consisting of variables and
coefficients, that involves only the operations of addition,
subtraction, multiplication, and non-negative integer exponents of
variables.
</span><span>The degree of a polynomial is the highest exponent of the terms of the polynomial.
For option 1: </span><span>It contains no fractional or negative exponent, hence it is a polynomial. But the highest exponent of the terms is 3, hence it is not of degree 2.
For opton 2: It contains a fractional exponent which violates the definition of a polynomial, hence, it is not a polynomial.
i.e.
For option 3: </span><span>It contains a negative exponent which violates the definition of a polynomial, hence, it is not a polynomial.
i.e.
For option 4: It contains no fractional or negative exponent, hence it is a polynomial. Also, the highest exponent of the terms is 2, hence it is of degree 2.
</span>
Therefore, <span>
s a polynomial with a degree of 2. [option 4]</span>
