29,45,46,48,54,54,62,71
the median is the middle number, so it would be 51
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.
Step-by-step explanation:
remember, we need to get to an expression of the form
y = ax + b
1.
x + 5y = 5
5y = -x + 5
y = (-1/5)x + 1
2.
3x + 2y = 4
2y = -3x + 4
y = (-3/2)x + 2
3.
2x + y = 4
y = -2x + 4
4.
4x - 2y = 6
2y = 4x - 6
y = 2x - 3
5.
8x - 4y = 16
4y = 8x - 16
y = 2x - 4
6.
3x + 4y = 4
4y = -3x + 4
y = (-3/4)x + 1
7.
9x - 4y = -16
4y = 9x + 16
y = (9/4)x + 4
8.
2x - 5y = 10
5y = 2x - 10
y = (2/5)x - 2
9.
3x + 5y = 10
5y = -3x + 10
y = (-3/5)x + 2
10.
7x - y = 4
y = 7x - 4
