please answer for a medal! Record the next three terms for each sequence. then write an explicit function for each sequence. u0=45, un=1.2un-1 where n is greater than or equal to 1
un and u 0 ??
\[\large\rm u_o = 45 ~~~~u_n =1.2_{n-1}-1\] looks like this ?
yes. but the second one has a U after the 1.2
ohh i forgot sorry \[\large\rm u_o = 45 ~~~~u_n =1.2u_{n-1}-1\] so is it geometric or arithmetic ??
I don't know, thats all the problem said
you can find out by looking at the \[\large\rm u_n =1.2u_{n-1}\] do you know the formulas for geometric and arithmetic sequence ?
Its asking for the next three terms. please just give answers, and re-read my question
i know what they are asking for tell me what is geometric sequence what is arithmetic sequence ? do you know the formulas if you don't know what r or d or if you don't know the formula for geometric or arithmetic seq you can't find 3 terms
nice link..! recursive formula for geometric sequence \[\huge\rm a_n = a_{n-1} \times r \] and recursive formula for arithmetic seq is \[\huge\rm a_n = a_{n-1} + d\]
awesome so whats the answer
Geometric sequence: the ratios of the consecutive terms are the same ; geometric when you multiply previous term to get the next term Arithmetic sequence: when the difference between consecutive terms are the same when you add or subtract previous term to get the next one
i don't have much time whats the answer
\[\large\rm u_n =1.2u_{n-1}\] now after reading that info what you think is it geometric or arithmetic ??
arithmetic
how ??
oh wait no geometric now whats the next step
why is that geometric ??
because multi
please just work it out so i can see it!!!!!!!!!!
Geometric = ratio = multiplication Arithmetic = difference = + sign
okay great can u answer the question??? this is taking forever.
yep that's right geometric \[\large\rm u_n =1.2u_{n-1}\] so r = 1.2 explicit formula for geometric sequence is \[\large a_n = a_1 ( r)^{n-1}\] r= ratio n = term that you have to find (1 ,2 ,3) replace variables by their values
is that \[\large\rm u_o ~~~or ~~ u_1 ???\]
0
so whats the answer
helloo????????????
|dw:1428358854048:dw| to find first term replace u_o by 45 r by 1.2 and n =1 and solve for u_1
Join our real-time social learning platform and learn together with your friends!