Step-by-step explanation:
∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹
This is a finite geometric series with n = 4, a₁ = -144, and r = ½.
S = a₁ (1 − rⁿ) / (1 − r)
S = -144 (1 − (½)⁴) / (1 − ½)
S = -270
If you wanted to find the infinite sum (n = ∞):
S = a₁ / (1 − r)
S = -144 / (1 − ½)
S = -288
Answer:
3x + 2y is <to 30
(the second answer)
Step-by-step explanation:
So basically the x is going to be the first thing mentioned, so roses, which are 3$. 3x. Carnations are going to he 2nd and so therefore represented by Y. 2y.
3x + 2y (you're adding them)
It says she does not want to spend more than 30$ and so because there is no less than or equal to sign, it would be the first answer.
Answer:
Tn=T1+(n-1)*d
Step-by-step explanation:
Tn is the nth term
T1 is the first term of the sequence
n is the nth term as well
d is the common difference
Answer:
a) X = 65°
b) Y = 71°
c) Z = 44°
Step-by-step explanation:
a) X is a vertical angle with the one marked 65°, so has that same measure.
b) Y is an opposite interior angle with the one marked 71° where the transversal between angles Y and Z crosses the parallel lines. That makes it have the measure 71°.
c) Z is the third angle of a triangle with the other two angles being 65° and 71°, so it is 180° -65° -71° = 44°. (The sum of angles of a triangle is 180°.)
Answer:
5,2,3
Step-by-step explanation:
I don't really know what to say. Im in midd school and I saw this before.................
