Find the sum of the first 5 terms of a geometric series with first term 1 and common ratio 1.5. Round your answer to the nearest tenth.(1 point)
The sum of the first 5 terms of a geometric series can be calculated using the formula:
S = a * (1 - r^n) / (1 - r)
where:
S = sum of the first n terms
a = first term
r = common ratio
n = number of terms
Plugging in the values given:
a = 1
r = 1.5
n = 5
S = 1 * (1 - (1.5^5)) / (1 - 1.5)
S = 1 * (1 - 57.66503906) / (-0.5)
S = -56.66503906 / (-0.5)
S = 113.3300781
Rounding to the nearest tenth:
Sum ≈ 113.3
Therefore, the sum of the first 5 terms of the geometric series is approximately 113.3.