The sequence an = 5n + 3 is the same as the sequence a1 = 8, an = an-1 + 5.

TRUE or FALSE
**Please explain! :) Thanks! :)

Question

The sequence an = 5n + 3 is the same as the sequence a1 = 8, an = an-1 + 5.

TRUE or FALSE
**Please explain! :) Thanks! :)

anonymous · Answer

the 1st equation is general,2nd is recursive,first write the sequence

anonymous · Answer

5(1)+3=8
5(2)+3=13
5(4)+3=23

anonymous · Answer

oh idk how to haha i'm like super confused :(

anonymous · Answer

how come u skipped 5(3)=15?

jim_thompson5910 · Answer

an = an-1 + 5 basically says "to get any term, take the previous term and add 5 to it"

anonymous · Answer

oops i meant 5(3)+3=18

anonymous · Answer

hi @jim_thompson5910 thanks for coming! :) so does that mean this statement is false?? because the first one says +3 not +5?

jim_thompson5910 · Answer

so

a1 = 8, an = an-1 + 5

means 

"start with 8, then add 5 to each previous term to get the next term to generate the sequence"

anonymous · Answer

8,13,18...5(n)+3
the ? is is this the same as $$a _{n}=a _{n-1}+5$$

anonymous · Answer

as jim_thompson5910 explained

anonymous · Answer

i don't think so right? cuz the first one is +3 and the second one is +5 right?? SO this statement is FALSE?

jim_thompson5910 · Answer

If you start an = 5n + 3 with n = 1, then

a1 = 5(1) + 3 = 8 ----> a1 = 8

a2 = 5(2) + 3 = 13 ----> a2 = 13

a3 = 5(3) + 3 = 18 ----> a3 = 18

a4 = 5(4) + 3 = 23 ----> a4 = 23

-------------------------------------------------------

Compare this to the rule "start with 8, then add 5 to each previous term to get the next term to generate the sequence"


First term: 8

Second term: 8+5 = 13

Third term: 13+5 = 18

Fourth term: 18+5 = 23

So it's the same sequence

anonymous · Answer

oh it is?? is it the same sequence if the outcomes are the same right?? it doesn't matter if it is +3, +5 etc,,, as long as the terms are the same (like you have showed?)

anonymous · Answer

So this statement is TRUE?

jim_thompson5910 · Answer

yes, your logic and line of thinking on that is correct

jim_thompson5910 · Answer

Those are just 2 ways to say the same thing (which is 8, 13, 18, 23, ...)

anonymous · Answer

so final answer is TRUE because of that?

anonymous · Answer

yes its true cos you get the terms by adding 5

anonymous · Answer

Cool!! THanks for the help everybody!!!! =) =D ;) :D

anonymous · Answer

i totally understand it now!! :)