Which of the following represents the general term for the sequence 2, 4, 6, 8, 10, . . .?

Mathematics

2 answers:

vredina [299]3 years ago

7 0

A(n)=a(1)+(n-1)d=
a(n)=2+(n-1)2=2+2n-2=2n

icang [17]3 years ago

5 0

Answer:

Option (b) is correct.

The general term of the sequence is 2n

Step-by-step explanation:

Given : The sequence 2, 4, 6, 8, 10, . . .

We have to find the representation of the general term of the given sequence 2, 4, 6, 8, 10, . . .

Consider the given sequence 2, 4, 6, .....

The general term of an arithmetic sequence is given by $a_n=a+(n-1)d$

where, a = first term

d is common difference

For the given sequence a = 2

and d = 2

Then $a_n=2+(n-1)2=2+2n-2=2n$

Thus, The general term of the sequence is 2n

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Find all the zeros of x^3-5x^2-x+5

AnnyKZ [126]

The fact that the coefficients are pairwise identical (except for sign) tells you that x^2 -1 is a factor (and x-5 is the other factor). Of course, you recognize x^2-1 as a special form (the difference of squares) that is factored as (x +1)(x -1).

The zeros are x = -1, +1, +5.

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A graphing calculator confirms this.