Answer:
The sum of the first 5 terms is -244
Step-by-step explanation:
To calculate the sum of the geometric series, we need the first term, the common ratio and the number of terms we would like to sum.
The first term here is -4
The common ratio is T2/T1 or T3/T2 = 12/-4 = -3
number of terms n = 5
The formula to use is;
Sn = a(1-r^n)/(1-r)
Plugging these values, we have;
Sn = -4(1-(-3)^5)/(1-(-3))
Sn = -4(1+243)/4 = -1(244) = -244
Answer:
whàaaaaaaaaaaaaaaaaaaasaaaaaaasaaaaat
Answer:
Range: [1,25]
Step-by-step explanation:
You may find it easier to express the domain in set notation rather than in words: [1,9], or 1 ≤ x ≤ 9. The smallest value of f(x) = 3x - 2 is at x = 1 and is 3(1) - 2, or 1. The lasrgest value of f(x) is at x = 9 and is 3(9) - 2, or 25.
Thus, the range of this function is [1,25] or 1 ≤ y ≤ 25.
A = 360 cm^2
Step-by-step explanation:
Using Pythagorean theorem, the length AB is given by
AB^2 = 17^2 - 8^2 = 225 cm^2
or
AB = 15 cm
Since the ratio BC: CD = 1:2 and BC = 8 cm, this means that CD = 2×(8 cm) = 16 cm
so the length BD is
BD = BC + CD = 8cm + 16 cm = 24 cm
There the area of the rectangle is
A = AB×BD
= 15cm×24cm
= 360 cm^2
