Question

Use the Sum of a Geometric Series Tool to check your answer for the total number of viewers after 7 days. Then find the total number of viewers at the end of the contest (after 14 days).

a) Sum after 7 days: 15,996; Sum after 14 days: 31,992
b) Sum after 7 days: 7,998; Sum after 14 days: 15,996
c) Sum after 7 days: 31,992; Sum after 14 days: 7,998
d) Sum after 7 days: 63,984; Sum after 14 days: 127,968

Answer 1

To find the total number of viewers at the end of the contest, use the formula for the sum of a geometric series. The correct answer is d) Sum after 7 days: 63,984; Sum after 14 days: 127,968.

Step-by-step explanation:

To find the total number of viewers at the end of the contest, we can use the formula for the sum of a geometric series:

Sn = a(1 - rn) / (1 - r)

Where Sn is the sum after n terms, a is the first term, and r is the common ratio.

In this case, we are given the sum after 7 days and 14 days, so we can use the formula to calculate the total number of viewers after 14 days by substituting the given values:

S14 = a(1 - r14) / (1 - r)

Now we can check which of the given options matches the calculated value.

The correct answer is d) Sum after 7 days: 63,984; Sum after 14 days: 127,968.