Question

Which term of the A.P: 3,8,13,........ is 33?​

Answer 1

$a_{n} = a + (n - 1)d \\ 33 = 3 + (n - 1) \times 5 \\ 33 - 3 = 5n - 5 \\ 30 + 5 = 5n \\ 35 = 5n \\ \frac{35}{5} = n \\ 7 = n$

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Answer 2

here a=3 , d= 8-3=5 an=33

an= a+(n-1)d

33= 3+ (n-1)5

33=3+5n-5

33= -2+5n, 33+2=5n, 35=5n, 35/5=n, n=7