10
practice testMultiple Choice

Practice Test

Question 10 • Precalculus

Which statement describes the series? the sum from n is equal to 1 to infinity of 2

Answer
A
The series converges and it has a sum of 4 .
B
The series converges and it does not have a sum.
C
The series diverges and it does not have a sum.
D
The series diverges and it has a constant ratio of 2.

Explanation

Each term of the series is 2, so its partial sums are 2, 4, 6, 8, and so on. After N terms, the partial sum is 2N, which grows without bound rather than approaching a finite value. Therefore, the series diverges and does not have a sum, as choice A states.

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