Answer:
no
Step-by-step explanation:
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:
<u>infinitely many solutions</u>
Step-by-step explanation:
The system of equations :
- 3x + 2y = 7
- -4.5x - 3y = -10.5
Multiplying Equation 1 times 3 and Equation 2 times 2 :
- 9x + 6y = 21
- -9x - 6y = -21
Putting the equations in standard form after simplifying :
- 6y = -9x + 21 ⇒ <u>y = -1.5x + 3.5</u>
- -6y = 9x - 21 ⇒ <u>y = -1.5x + 3.5</u>
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As both equations are the same, the system will have <u>infinitely many solutions</u>.
The best choice would be neither