Question

The recursive rule for a sequence is shown. an=an−1+6 a1=39 What is the explicit rule for this sequence? an=33n+6 an=33n−6 an=6n−33 an=6n+33

Answer 1

Given that, $a_{1}$ = 39

We will find the second term $a_{2}$$a_{2} = a_{1} + 6 = 39 + 6 = 45$

Similarly,

$a_{3} = 45 + 6 = 51$

Now we use the option checking method,

Suppose we check 4th option

a_{n}= 6n + 33

for n=1

$a_{1}$ = 6(1) + 33 = 39

$a_{2} = 6(2) + 33 = 12 + 33 = 45a_{3} = 6(3) + 33 = 18 + 33 = 51$

It means option D is correct