Question

¿Cuál serie numérica tiene como regla general Xn = 2n +1?

Answer 1

Answer:

The series of numbers that correspond to the general rule of  $X_n=2n+1$ is {3, 5, 7, 9}.

Step-by-step explanation:

We are given with the following series options below;

a. 3, 5, 7, 9

b. 2, 4, 5, 8

c. 4, 6, 8,10

d. 2, 3, 4, 5

And we have to identify what number series has a general rule as $X_n=2n+1$.

For this, we will put the values of n in the above expression and then will see which series is obtained as a result.

So, the given expression is ; $X_n=2n+1$

If we put n = 1, then;

$X_1=(2\times 1)+1$

$X_1 = 2+1 = 3$

If we put n = 2, then;

$X_2=(2\times 2)+1$

$X_2 = 4+1 = 5$

If we put n = 3, then;

$X_3=(2\times 3)+1$

$X_3 = 6+1 = 7$

If we put n = 4, then;

$X_4=(2\times 4)+1$

$X_4 = 8+1 = 9$

Hence, the series of numbers that correspond to the general rule of  $X_n=2n+1$ is {3, 5, 7, 9}.