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:
rhombus; Measure of angle B = 70 degrees
Step-by-step explanation:
The shape is a rhombus. Angle B and angle A are supplementary, so they add up to 180 degrees.
110 + B = 180
B = 180 - 110
B = 70
It is a rhombus because all sides are equal.
I got 155♀️ I don’t know cause I did PEMDAS and got 155
No because there are two of the same inputs(x) (2,5) and (2,7)