List of top Mathematics Questions on geometric progression asked in KEAM

If the $6^{\text{th}}$ term of a G.P. is $2$, then the product of the first $11$ terms of the G.P. is equal to:

If the product of five consecutive terms of a G.P. is $\frac{243}{32}$, then the middle term is:

Let \( S_1 \) be a square of side 5 cm. Another square \( S_2 \) is drawn by joining midpoints of the sides of \( S_1 \). Square \( S_3 \) is drawn similarly and so on. Then \( \text{Area}(S_1) + \cdots + \text{Area}(S_{10}) \) is

If 4th term of a G.P. is 32 whose common ratio is half of the first term, then the 15th term is

The 5th and 8th terms of a G.P. are 1458 and 54 respectively. The common ratio of the G.P. is