Find the sum of the first 10 terms of the following sequence. Round to the nearest hundredth if necessary.
81, comma, 97, point, 2, comma, 116, point, 6, 4, comma, point, point, .
81,97.2,116.64,...
To find the sum of the first 10 terms of the sequence, we first need to write out the terms explicitly.
The given sequence seems to be increasing by adding a decimal value each time. So, the first 10 terms are:
81, 97.2, 116.64, 139.968, 167.9616, 201.55392, 241.864704, 290.2376448, 348.2851754, 417.9422105
Now, let's add these up to find the sum.
81 + 97.2 + 116.64 + 139.968 + 167.9616 + 201.55392 + 241.864704 + 290.2376448 + 348.2851754 + 417.9422105 ≈ 2022.47
Therefore, the sum of the first 10 terms of the sequence is approximately 2022.47.