Question

Plz help! It’s not hard I just don’t properly understand

Answer 1

Answer:

$a_{13}=2(13)+13=39$

39 is the 13th term

Step-by-step explanation:

Okay so essentially the $a_n$ is just a substitute for x.

See how in the equation they put n into the x spot:

$y=mx+b\\a_n=mn+b\\a_n=2n+13$

They changed the variable names:

$y=a_n\\m=2\\n=x\\b=13$

Now we know what the n actually means, plus when they ask about the terms youre trying to find it's based off of that n:

When they say, 13 term, they mean $a_{13}$ which would be the 13th answer in the series.  So the first term would be based off of $a_1$

$a_1=2(1)+13\\a_1=15$

So whatever number is in the n position by a is what you'll be plugging into the x spot.

$y=mx+b\\a_n=2n+13\\a_1=2(1)+13=15\\a_2=2(2)+13=17\\a_3=2(3)+13=19\\a_4=2(4)+13=21\\a_5=2(5) +13=23\\a_6=2(6)+13=25\\a_7=2(7)+13=27\\a_8=2(8) +13=29\\a_9=2(9)+13=31\\a_{10}=2(10)+13=33\\a_{11}=2(11)+13=35\\a_{12}=2(12)+13=37\\a_{13}=2(13)+13=39$

These are all the answers leading up to the 13th term they asked for, and you can continue thus same equation with whatever number you can put into the n space.