The eighth term of the arithmetic sequence is 43
Step-by-step explanation:
The formula of the nth term of an arithmetic sequence is:
[tex]a_{n}=a+(n-1)d[/tex] , where
∵ The explicit formula of an arithmetic sequence is [tex]a_{n}=5n + 3[/tex] ,
where n is the position of the term
∵ We need to find the eighth term
- That means the position of the term is 8th in the sequence
∴ n = 8
- Substitute n by 8 in the given formula
∴ [tex]a_{8}=5(8)+3[/tex]
∴ [tex]a_{8}=40+3[/tex]
∴ [tex]a_{8}=43[/tex]
The eighth term of the arithmetic sequence is 43
Learn more:
You can learn more about the arithmetic sequences in brainly.com/question/7221312
#LearnwithBrainly
