What is the sum to infinity of the geometric series ?
Answer and explanation
Correct answer: D. 12
- Step 1: Determine the first term and common ratio .
- Step 2: Because , the infinite geometric series converges and its sum is given by .
- Step 3: Substitute and : .
Answer
12.
Practise more Sequences and series.
Free questions with an explanation for every one, and full timed GATE mock tests.
More Sequences and series questions
- The first term of an arithmetic progression is and its common difference is . What is the sum of its first terms?
- The first term of an arithmetic progression is and its common difference is . What is the sum of its first terms?
- The first term of an arithmetic progression is and its common difference is . What is the sum of its first terms?
- The first term of an arithmetic progression is and its common difference is . What is the sum of its first terms?
- The first term of an arithmetic progression is and its common difference is . What is the sum of its first terms?
- The first term of an arithmetic progression is and its common difference is . What is the sum of its first terms?