The sequence shown in the image is {35, n, i, c, e, -20}.

However, this sequence contains letters instead of just numbers. To determine the next three terms, it is essential to identify any pattern or logic behind the sequence. If this is from a particular context or problem set where letters have a specific numerical value or meaning, please provide that context.

If no numerical pattern exists or if letters need to be decoded or translated, more context would be required to determine the next terms accurately.

Do you have any additional information or context regarding this sequence? If it's part of a word or letter pattern, please let me know, and I'll assist you in decoding or continuing the sequence.