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:
≈ 27 ft
Step-by-step explanation:
using the tangent ratio in the right triangle formed by the building and the ground.
tan15° = = ( multiply both sides by 100 )
100 × tan15° = ? , then
? ≈ 27 ft ( to the nearest whole number )
Arranging them in ascending order :
21 , 21 , 30 , 44, 49, 52
Median = (30 + 44) ÷ 2
Median = 37 mins
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Answer: Median = 37 mins (Answer D)
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2 because it's the highest exponent in the expression