Answer:
Option A. 5
Step-by-step explanation:
From the question given above, the following data were obtained:
First term (a) = –3
Common ratio (r) = 6
Sum of series (Sₙ) = –4665
Number of term (n) =?
The number of terms in the series can be obtained as follow:
Sₙ = a[rⁿ – 1] / r – 1
–4665 = –3[6ⁿ – 1] / 6 – 1
–4665 = –3[6ⁿ – 1] / 5
Cross multiply
–4665 × 5 = –3[6ⁿ – 1]
–23325 = –3[6ⁿ – 1]
Divide both side by –3
–23325 / –3 = 6ⁿ – 1
7775 = 6ⁿ – 1
Collect like terms
7775 + 1 = 6ⁿ
7776 = 6ⁿ
Express 7776 in index form with 6 as the base
6⁵ = 6ⁿ
n = 5
Thus, the number of terms in the geometric series is 5.
Answer: Distributivo
Step-by-step explanation:
2*3 = 6
2 * x = 2x
Therefore:
2(3+x) = 6 + 2x
- i =
- Product rule of radicals: √ab = √a x √b
Firstly, factor out i: 
Next, apply the product rule of radicals here as such:
<u>Your answer is 5i√2, or the second option.</u>
I can’t see the photo so I can’t tell you the answer but good luck. Congruent means they look the same I think.
