Q4 / 118 · NTA Abhyas (JEE Main) 2020 · Mathematics · Sequences and Series

If 12020+22019+32018+.........+20201=2020×2021×k, then the value of k100 is equal to

Correct answer: 3.37

Solution

tr=r2021-r
S=∑r=12020tr=∑r=12020r2021-r
=2021∑r=12020r-∑r=12020r2
=2021×2020×20212-2020×2021×40416
=2021×202022021-40413
=2020×20212×674
=2020×2021×337
⇒k=337⇒k100=3.37

Hence, the correct answer is 3.37.

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