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:
Below.
Step-by-step explanation:
Yes - those are 2 semicircles so their combined area = πr^2
= 3^2π
= 9π.
The answers
1)-7
2)-1.5
3) 2
Answer:
Step-by-step explanation:
Let s and h represent the numbers of sodas and hotdogs sold, respectively. The problem statement tells you ...
... s + h = 165
... s - h = 39
Add these two equations to get ...
... 2s = 204
... s = 102 . . . . . divide by w
... h = 165 - 102 = 63 . . . . use the first equation to find h from s
The vendor sold 102 sodas and 63 hot dogs at the basketball game.
