Same chapter3 marksDifficulty: Medium
The third term of a geometric progression is 12 and the sixth term is 96. Find the first term and the common ratio.
Sequence and Series
3 marksDifficulty: Medium
Find the sum of the infinite geometric series 1 + 1/2 + 1/4 + ...
Original Khojo Papers practice question — not from a past board paper.
Answer
2
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
For |r| < 1 the sum to infinity is a/(1 − r) = 1/(1 − 1/2) = 2.
Related questions
From the same topic and chapter, at a similar level.
Same chapter3 marksDifficulty: Medium
Find the sum of the first 20 odd natural numbers.
Sequence and Series
Same chapter3 marksDifficulty: Medium
Insert two geometric means between 4 and 108.
Sequence and Series
Same chapter3 marksDifficulty: Medium
Find the sum of the geometric progression 3, 6, 12, ... up to 6 terms.
Sequence and Series
Same chapter3 marksDifficulty: Medium
Find the sum of the first n natural numbers, their squares and their cubes.
Sequence and Series
Same chapter3 marksDifficulty: Medium
Express the recurring decimal 0.777... as a fraction using the sum of an infinite geometric series.
Sequence and Series