Given that the recursive formula is: an=an-1+6 a1=39 the second term will be: a2=a1+6 a2=39+6=45
To evaluate the explicit formula we use the formula: an=a+d(n-1) where a=first term d=common difference From the above a1=39 and a2=45 thus d=45-39=6 a=39 hence the explicit formula will be: an=39+6(n-1) simplifying this we obtain: an=39+6n-6 an=39-6+6n an=6n+33