The 2nd term of a geometric progression is 3 and the 5th term is 81. Find the first term and the common ratio.
Arithmetic and Geometric Progression
Original Khojo Papers practice question — not from a past board paper.
In an arithmetic progression each term is obtained by adding a fixed number, the common difference, to the term before it. In a geometric progression each term is obtained by multiplying the term before it by a fixed number, the common ratio.
No citable source has been recorded for this record. Treat it as practice material, not as fact.
So 2, 5, 8, 11 is arithmetic while 2, 6, 18, 54 is geometric.
From the same topic and chapter, at a similar level.
The 2nd term of a geometric progression is 3 and the 5th term is 81. Find the first term and the common ratio.
Arithmetic and Geometric Progression
A man saves ₹200 in the first month and ₹50 more in each following month. Find his total saving in one year.
Arithmetic and Geometric Progression
The 4th term of an arithmetic progression is 11 and the 9th term is 26. Find the first term and the common difference.
Arithmetic and Geometric Progression
Insert three arithmetic means between 3 and 19.
Arithmetic and Geometric Progression
Find the sum 1 + 3 + 5 + ... + 99.
Arithmetic and Geometric Progression
The 10th term of the geometric progression 2, 4, 8, ... is:
Arithmetic and Geometric Progression