Answer:
a₈ = 37
Step-by-step explanation:
The given arithmetic sequence is: 3, 8, 13, 18, 23, . . . 
The recursive formula for the sequence is: 
Here,  represents the
 represents the  of the sequence.
 of the sequence.
And,  represents the
 represents the  of the sequence.
 of the sequence. 
'+5' denotes that '5' is added to the  term to get the
 term to get the  term. In other words, the difference between two consecutive numbers in the sequence is 5.
 term. In other words, the difference between two consecutive numbers in the sequence is 5.
Now, we are asked to find a₈ i.e., n =8. 
Substituting in the recursive formula we get: a₈ = a₍₈₋ ₁₎ + 5 = a₇ + 5.
So, to determine a₈ we need to know a₇. From the sequence we see that a₅ = 23.
⇒ a₆ = 23 + 5 = 28.
⇒ a₇ = 28 + 5 = 32.
⇒ a₈ = 32 + 5 = 37.
Therefore, the  term of the sequence is 37.
 term of the sequence is 37.