Which statement describes


0.34

? select three answers.

a.
it is a repeating decimal.

b.
it is a non-terminating decimal.

c.
it is a non-repeating decimal.

d.
it is a terminating decimal.

e.
it is a rational number.

f.
it is not a rational number.

The correct statements are A, B and E

SOLUTION:

Given, number is  

We have to choose the statements that correctly describes the above number.

Now, we know that, a bar on a number represents it is repeating decimal. So let us check options now.

A. It is a repeating decimal.  

As the number has it is repeating decimal. So this option is correct.

B. It is a non-terminating decimal.  

As the number is repeating, it will not terminate, so this option is correct.

C. It is a non-repeating decimal.  

No, it is repeating. So this is wrong statement.

D. It is a terminating decimal.  

It is non – terminating, so this is wrong.

E. It is a rational number.  

As it is repeating, we can represent it in fraction, so this is correct.

F. It is not a rational number.

It is rational number so, this is wrong option.

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

question is incomplete.