in the first week of a songs release, it had 16 million streams. each week, the number of streams is 90% of…

in the first week of a songs release, it had 16 million streams. each week, the number of streams is 90% of the previous week. how many streams will there be in the sixth week?\n8,503,056\n9,447,840\n10,497,600\n11,664,000

in the first week of a songs release, it had 16 million streams. each week, the number of streams is 90% of the previous week. how many streams will there be in the sixth week?\n8,503,056\n9,447,840\n10,497,600\n11,664,000

Answer

Explanation:

Step1: Identify the formula for a geometric - sequence

The formula for a geometric sequence is $a_n=a_1r^{n - 1}$, where $a_1$ is the first - term, $r$ is the common ratio, and $n$ is the term number. Here, $a_1 = 16000000$, $r=0.9$, and $n = 6$.

Step2: Substitute the values into the formula

$a_6=16000000\times(0.9)^{6 - 1}$.

Step3: Calculate $(0.9)^5$

$(0.9)^5=0.9\times0.9\times0.9\times0.9\times0.9 = 0.59049$.

Step4: Calculate $a_6$

$a_6=16000000\times0.59049=9447840$.

Answer:

9,447,840