Babynini
  • Babynini
The 20th term of an arithmetic sequence is 101, and the common difference is 3. Find a formula for the nth term.
Mathematics
schrodinger
  • schrodinger
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Babynini
  • Babynini
@ganeshie8 are you free? :)
Babynini
  • Babynini
hrm, from the info given I have a_20=a+(20-1)d a_20=a+(19)*3 a_20=a+57 yeah?
Babynini
  • Babynini

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Babynini
  • Babynini
we know a_20 so it comes to 101=a+19(3) a=44 so the formula for the nth term will be a_n=44+(n-1)(3) ?
jtvatsim
  • jtvatsim
You've put a lot of work into this already, so let's test your equation to verify it.
jtvatsim
  • jtvatsim
Testing a_20 seems like a good idea. Do we get the right answer?
jtvatsim
  • jtvatsim
And.... we do!
jtvatsim
  • jtvatsim
Looks like you've got it. Congrats!
Babynini
  • Babynini
yay! :)
Babynini
  • Babynini
thanks for checking ^-^ (how did you test a_20?)
jtvatsim
  • jtvatsim
Just plugged in n = 20.
jtvatsim
  • jtvatsim
I hoped it would be 101 as the answer, and it was.
Babynini
  • Babynini
oh haha I see. Fabulous.
jtvatsim
  • jtvatsim
Of course, I needed to see that n = 1 gave me 44 as claimed, but that was kind of obvious since that's what you built the formula to do. :)
Babynini
  • Babynini
Indeed :P

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