Use a table to organize the terms and find the pattern.
a_1=3, a_n=a_(n-1)+5
Practice makes perfect
To write a recursive rule for the given sequence, we will use a table to organize the terms and find the pattern.
The sequence is arithmetic with a first term of a_1=3 and a common difference of d=5.
To write the recursive rule, we will substitute these values into the general formula for the recursive rule of an arithmetic sequence.
la_1=a a_n=a_(n-1)+d ⇒ la_1= 3 a_n=a_(n-1)+ 5
