kirihara
What is the 19th term of the arithmetic sequence 14, 22, 30, … ?
Delete
Share
This Question is Closed
FoolForMath
Best Response
You've already chosen the best response.
1
14+18 \times 8 = 14 + 144 = 158
FoolForMath
Best Response
You've already chosen the best response.
1
\[ 14+18 \times 8 = 14 + 144 = 158 \]
madscientist101
Best Response
You've already chosen the best response.
2
6+8x
where x is the term.
madscientist101
Best Response
You've already chosen the best response.
2
6+8(19)
6+152
158
madscientist101
Best Response
You've already chosen the best response.
2
The 19th term is therefor 158 :)
FoolForMath
Best Response
You've already chosen the best response.
1
@madscientist101: Can you explain?
kirihara
Best Response
You've already chosen the best response.
0
thank you!! totally diff than how my teacher showed me haha your way is easier lol
FoolForMath
Best Response
You've already chosen the best response.
1
*6+8x @madscientist101
madscientist101
Best Response
You've already chosen the best response.
2
that's what I wrote FFM 6+8x
thunderemperor
Best Response
You've already chosen the best response.
2
\[T _{n}=a+(n-1)d\]
a=14
\[T _{2}=a+(2-1)d=22\]
a+d=22
d=22-14=8
\[T _{19}=14+(19-1)8=158\]
FoolForMath
Best Response
You've already chosen the best response.
1
Okay, so you go 1 term back and find the 20th term instead of 19th right? @madscientist101
madscientist101
Best Response
You've already chosen the best response.
2
The difference between each term is 8.
It starts with 14
so it must be 14+8(x-1)... because the you don't want the 14 to be counted as the first term.. although it is...
14+8(x-1)
= 14+8x-8
=6+8x
@Foolformath
FoolForMath
Best Response
You've already chosen the best response.
1
lol nice Mad :)
madscientist101
Best Response
You've already chosen the best response.
2
lol yup