B and C are absurd; if a series converges, it must have a sum, but if a series diverges, it cannot have a sum.
Now, notice that
That is, we can write the sum more compactly as
The series is geometric with common ratio
, so the series converges (and thereby has a sum), so the answer is D.
Answer: 17.62
Step-by-step explanation:
Answer:
x = 13
Step-by-step explanation:
3x + 2x + 5 = 60
5x + 5 = 60
5x = 65
x = 13
The answer is 43.72 <span>× 10¹² kg.</span>
It is given:
the mass of the Rock of Gibraltar:
m₁ = 1.78 × 10¹² kg
the mass of the Antarctic iceberg:<span>
m</span>₂ = 4.55 × 10¹³ kg = 4.55 × 10 × 10¹² kg = 45.5 × 10¹² kg<span>
To calculate how many more kilograms </span><span>is the mass of the Antarctic iceberg than the mass of the Rock of Gibraltar we need to subtract them:
</span>m₂ - m₁ = 45.5 × 10¹² kg - <span>1.78 × 10¹² kg
</span>m₂ - m₁ = (45.5 - 1.78) <span>× 10¹² kg
</span>m₂ - m₁ = 43.72 × 10¹² kg
