Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum. (If an answer does not exist, enter DNE.) 2 + 0.6 + 0.18 + 0.054 + ...

  sum: 2 6/7

Step-by-step explanation:

The first term is 2, and the common ratio is 0.6/2 = 0.3. This value is less than 1, so the series converges.

The sum is ...

  S = a0/(1 -r) = 2/(1 -0.3) = 2/0.7

  S = 2 6/7

step-by-step explanation:

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

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step-by-step explanation: