Complete the statements about the series There are

The sign of each term in the series

Ok, first in our series we can see two numbers in the Sigma, one bellow 0, and other above, 4.

This means that the value of k will go from 0 to 4, then all the numbers in the sum are:

(-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3 + (-1/2)^4

So we have 5 terms in our series.

b) to see the sign in each term, we must solve the powers, remember that:

(-1)^n is -1 if n is odd, and is equal to 1 if n is even, so we have:

(-1/2)^0 + (-1/2)^1 + (-1/2)^2 + (-1/2)^3 + (-1/2)^4

= 1 -1/2 + 1/4 - 1/8 + 1/16.

So the sign in each term of the series alternates.

about 0.75 hours

step-by-step explanation: