Find the value of 𝑟r such that the ratio of 3𝑃𝑟3 P r​ and 4𝑃𝑟−14 P r−1​ will be 1221​ ?

The sum of first three terms of a G.P. is 1312 and their product is – 1.Find the common ratio and the terms

The value of the ratio  (1 + 122 + 132 + 142 + ….)/(1 − 122 + 132 − 142 + ….)  is  …… .........

210 is p% greater than 30. What is the value of p ?

Find the 12th term of a G.P. whose 8th term is 192 and the common ratio is 2.

The expression (x22)(x7)3(𝑥22)⁢(𝑥7)3 is equivalent to xp𝑥𝑝. What is the value of p?