Sequences and Series problem?
Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. If it diverges to infinity, state your answer as INF. If it diverges to negative infinity, state your answer as MINF. If it diverges without being infinity or negative infinity, state your answer as DIV.
(13+8arctan(n!))/11^n
Comments
converges to 0....top is bounded by 30 , bottom is not bounded
17. what's the sum of the geometric sequence -a million, 6, -36, ... if there are 7 phrases? first-term, a = -a million, person-friendly-ratio, r = 6/(-a million) = -6, S7 = a(r^7-a million) / (r-a million) = -a million[(-6)^7 -a million] / (-6-a million) = = -(-279936-a million) / (-7) = -39,991 >======================< answer 18. what's the sum of a 7-term geometric sequence if the 1st term is 6, the final term is 24,576, and the person-friendly ratio is -4? S7 = 6[(-4)^7 -a million] / (-4-a million) = 6(-16384 -a million) / (-5) 19662 >===========< answer further resolve Others ..................