Step-by-step explanation:
∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹
This represents a finite geometric series where n equals 4, a₁ is -144, and r is ½.
S = a₁ (1 − rⁿ) / (1 − r)
S = -144 (1 − (½)⁴) / (1 − ½)
S = -270
If you wish to calculate the infinite sum (n = ∞):
S = a₁ / (1 − r)
S = -144 / (1 − ½)
S = -288
Answer:- 1. True. A compass serves the purpose of drawing circles and arcs in geometric constructions.
2. False. A standard geometric construction necessitates the use of a straightedge, compass, and pencil, among other tools, to accurately draw a geometric figure.
3. True. Geometric constructions are crafted using a compass and straightedge.
4. True. Protractors assist in geometric constructions for measuring angles, while rulers are employed to gauge segment lengths.
Answer:
The four odd numbers in sequence are 89, 90, 91, and 93.
Step-by-step explanation:
Designate the four consecutive numbers as x, x+2, x+4, and x+6.
Based on the information given in the question
x + (x + 2) + (x + 4) + (x + 6) = 368
4x + 12 = 368
4x = 356
x = 89
Consequently, the numbers are 89, 90, 91, and 93.
Hope this is helpful:)
