So you know that for arithmetic sequences, the difference between each term is the same. So we can use this to form an equation:
Difference between term 2 and 1 = Difference between term 3 and 2

So the three values are:
<u>
</u>5, 0.5(5)+7, 3(5)-1
=
<u>5, 9.5, 14</u>
The next number in the given series is going to be 565.
2, 3, 8, 27, 112, ?
2 * 1 + 1 = 3
3 * 2 + 2 = 8
8 * 3 + 3 = 27
27 * 4 + 4 = 112
112 * 5 + 5 = 565.
Good luck :)
Marcos is correct because 3x is not a like term to 7, since you cannot add them it’s already in its most simplified form and stays as 3x + 7.
The answer is B
Have a good day!