Answer:
6 terms
Step-by-step explanation:
2 − 2/4 + 2/9 − 2/16 + ...
∑ (-1)ⁿ⁺¹ 2 / n²
Applying alternating series test:
lim(n→∞) 2/n² = 0
2/(n+1)² < 2/n², so the series is decreasing.
Therefore, the series converges.
2/(n+1)² < 0.05
(n+1)²/2 > 20
(n+1)² > 40
n+1 > 6.32
n > 5.32
n = 6
Answer:
650
Step-by-step explanation:
822-72=650
Answer:
4/5
Step-by-step explanation:
Answer:
one
Step-by-step explanation:
3x-7=4+6+4x
3x=7+4+6+4x
3x=17+4x
3x-4x=17
-x=17
x=-17
Answer:
The answer to your question is 236 ft²
Step-by-step explanation:
Data
height = 5 ft
width = 6 ft
length = 8 ft
Area = ?
Process
I will consider that the crate is a rectangular prism which has 6 sides
1.- Find the area of the sides that measure 8 x 6
Area = 2 (8 x 6)
= 2(48)
= 96 ft²
2.- Find the area of the sides that measure 8 x 5
Area = 2(8 x 5)
Area = 2(40)
Area = 80 ft²
3.- Find the area of the sides that measure 6 x 5
Area = 2( 6 x 5)
Area = 2(30)
Area = 60
4.- Find the total area
Area = 96 + 80 + 60
Area = 236 ft²
5.- Conclusion
She needs 236 ft² of paint
