Question

Find the nth term, the fifth term, and the 100th term, of the arithmetic sequence determined by a = 2 and d = 3​

Answer 1

Answer: an=3n-1 a₅=14 a₁₀₀=299

Explanation:

a=2 d=3

`\boxed {a_n=a_1+d(n-1)}\\\\a_n=2+3(n-1)\\\\a_n=2+3n-3\\\\a_n=3n-1\\\\a_(100)=3(100)-1\\\\a_(100)=300-1\\\\a_(100)=299\\\\a_5=3(5)-1\\\\a_5=15-1\\\\a_5=14`