Mathematics · 2021
JEE Main · 26 February 2021, Shift 2 · Q89
If the arithmetic mean and geometric mean of the p^th and q^th terms of the sequence -16,8,-4,2, … satisfy the equation 4 x^2-9 x+5=0, then p + q is…
If the arithmetic mean and geometric mean of the $\displaystyle \mathrm{p}^{\text {th }}$ and $\displaystyle \mathrm{q}^{\text {th }}$ terms of the sequence $\displaystyle -16,8,-4,2, \ldots$ satisfy the equation $\displaystyle 4 x^2-9 x+5=0$, then $\displaystyle \mathrm{p}+\mathrm{q}$ is equal to \_\_\_\_.
Official answer
10
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.