Question

How many terms are in the arithemetic sequence 2, 5, 8, ...., 293? recall An=A1+(n-1) d
n and 1 are small

Answer 1

im coming up with 98

Answer 2

\(\Large \color{purple}{\rightarrow 293 = 2 + 3(n - 1) }\)

\(\Large \color{purple}{\rightarrow 293 = 2 + 3n - 3 }\)

\(\Large \color{purple}{\rightarrow 293 = -1 + 3n }\)

\(\Large \color{purple}{\rightarrow 294 = 3n }\)

\(\Large \color{purple}{\rightarrow n = 98 }\)

Answer 3

Yes, 293 is the 98th term.

Answer 4

thank you once again parthkohli