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.
-1 as a negative would = X
Answer:
Pretty sure she was best known for calculating flight paths of spacecraft.
Answer:
1. Graph the first six terms of a sequence where a1 = 3 and d = −10. 2. Graph the first six terms of a sequence where
a1 =
4
and r
= 2. 3. Graph the six terms of a finite series where a1 = −3...
Step-by-step explanation:
What is the slope of Y= 2x-7
<u>Explanation</u>:
Where
m is slope of the equation
Slope: The slope of a line is also called as gradient of line it is denoted by a letter m.
