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:
2100
Step-by-step explanation:
28.34 rounds to 30
We look at the 8 which is greater than 5 and rounds the 2 to 3
69.72 rounds to 70
We look at the 9 which is greater than 5 and rounds the 6 to 7
30*70
2100
Answer:
17
Step-by-step explanation:
14+3 it asked for total yards traveled
Their sum can be greater than two. There is nothing that states that they couldn't be. All it states it that the two factions sums are less than 1. I hoped this helps
A. 1/3 x 45 < 45
Explanation:
1/3 x 45 is 15, so the comparison is correct because 15 is less than 45.
the rest of the choices are incorrect because:
B. 60 < 60 x 3/4 is wrong because 60 x 3/4 = 45 which is LESS than 60, not greater
C. 20 x 1/5 >20 is wrong because 20 x 1/5 = 4 which is LESS than 20, not greater
D. 25 < 2/3 x 25 is wrong because 2/3 x 25 = 16 2/3 which is LESS than 25, not greater
Have a nice day (brainliest pls tysm!)
