IIMB 2002 (QA) PYQs

Goku starts receiving an annual stipend of Rs. $100$. Each subsequent year, his stipend is reduced to $90\%$ of the amount he received the previous year. Calculate the maximum total amount Goku will receive over an infinite period.

The sum of the first 3 terms of an AP is 6 and that of the last 3 terms is 16. If the AP has 13 terms, what is the Arithmetic mean of the three terms that are exactly at the middle of the progression?

If $\dfrac{a^{n+1}+b^{n+1}}{a^n+b^n}$ is the arithmetic mean of $a$ and $b$ then find the value of $n$