Question

What I got when I tried to solve this problem:
a[n]= a [1] +(n-1) *d
a[n]=14 [1] +( -1) *4
a[n]= 14 + ____*4
What is the simple formula for the nth term of the following arithmetic sequence?
14, 18, 22, 26, 30, …
The correct answer is: 4n +10
Please explain how you figure that out

Answer 1

a1=14
\[a _{n}=a _{1}+\left( n-1 \right)d\]
\[a _{n}=14+\left( n-1 \right)4=14+4n-4=4n+10\]

Answer 2

d=18-14=4

Answer 3

yep @surjithayer