How do you find an equation that describes the sequence #16, 17, 18, 19,...# and find the 23rd term?
2 Answers
Explanation:
To find an equation, we should use the arithmetic sequence formula:
When using this formula, you need to find the values for
1. Finding
We are given the sequence
etc.
But whatever way you choose to find it, you should get that
2. Finding
3. Plug into the formula.
Now distribute
That's your equation!
Now plug in 23 for
Explanation:
#" this is an arithmetic sequence"#
#"the nth term is " a_n=a+(n-1)d#
#"where " a " is the first term and " d" the common difference"#
#"here " a=16" and " d=1#
#rArra_n=16+n-1=n+15#
#rArra_(23)=23+15=38#