Question

Express the series using sigma notation. 4 + 16 + 64 + 256 + 1,024

Answer 1

Answer:

5

E    4(4)^n-1

n-1

Step-by-step explanation:

The series is being multiplied by 4 each time making it a geometric series. Which means that the common ratio is 4, r=4.

Secondly, you can determine the value of K by counting the number of numbers in the series. In this case there are 5, k=5.

Finally, the last value we need to find is a1 which is found by looking at the first value in the set, a1=4.

Once we have all of these values, we put them into the finite Sigma Notation equation.

k

E     a1(r)^n-1

n-1

The values go where their equivalents are, and then we have our answer:

5

E    4(4)^n-1

n-1

Answer 2

Answer:

EASSYYY

Step-by-step explanation:

1364