Answer:
about 105 rivets to build 2200 ft of the bridge .
Step-by-step explanation:
first i found out how many rivets it took to build one ft of the bridge .
i divided 42 by 2 to get how many rivets it took to build one ft. i got (21)
21 rivets for 1 ft
next i divided 2200 ft by 21 rivets (2200÷21)= 104.76
104.76 rounded is 105
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:
interpretation: -- 1/9 1/3 2/9 2/3
Input:
-(-1)/9×1/3×2/(9 + 2/3)
Exact result:
2/261
