Find the 12th term of the sequence given by the rule $t_n=4n-2$.
Is the answer $44$, or $48$, or $50$, or $46$?
I am trying to help my daughter. Please help me. I am interested in learning how to do this myself. Her online schooling is not very good at teaching her what she needs. She has to just watch videos and read tons of descriptions. Thank you in advance!
$\endgroup$ 102 Answers
$\begingroup$If chickens laid eggs according to that rule, when you have n chickens, you have (4n - 2) number of eggs. For 1 chicken thats 4x1-2=2 eggs, for two chickens, 4x2-2=6 eggs, for n chickens, (4n-2) eggs.
$\endgroup$ 2 $\begingroup$The $n$th term of the sequence is $$t_n=4 \cdot n-2. $$ To compute the 12th term of the sequence, just plug in $12$ for $n$: $$ t_{12} = 4 \cdot (12)-2 = 48-2=46. $$
It sounds like your other sequence is $$ t_n = 3 \cdot (-1)^{n-1}, $$ if I understood you correctly. To get the 5th term of this sequence, replace $n$ by $5$: $$ t_n = 3 \cdot (-1)^{5-1} = 3 \cdot (-1)^4 = 3. $$
$\endgroup$ 6
