Consider the infinite series with sum S=2+1+(1/2)+(1/4)+(1/8)+ ldots ldots. Which of the following statement(s) is/are correct?

Question

Consider the infinite series with sum S=2+1+(1/2)+(1/4)+(1/8)+ ldots ldots. Which of the following statement(s) is/are correct? (A) The sum increases without any limit. (B) The sum decrease without any limit. (C) The difference between any term of the sequence and zero is positive. (D) The difference (S - 4) is negative.

Tardigrade Admin · Accepted Answer

Correct answer is (c) The difference between any term of the sequence and zero is positive.Correct answer is (d) The difference (S - 4) is negative.

Q. Consider the infinite series with sum S=2+1+21​+41​+81​+……. Which of the following statement(s) is/are correct?

The sum increases without any limit.

The sum decrease without any limit.

The difference between any term of the sequence and zero is positive.

The difference (S - 4) is negative.

Correct answer is (c) The difference between any term of the sequence and zero is positive.Correct answer is (d) The difference (S - 4) is negative.

Q. Consider the infinite series with sum $S = 2 + 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \dots\dots$ . Which of the following statement(s) is/are correct?