I wrote it out on paper and uploaded the answer for you. Let me know if you have any questions.
X difference: 7-2 = 5
y difference: 11-10 = 1
Add up those results: 5+1 = 6
Answer Is 6
hence, the common ratio of the given G.P. is 3 or −3.
Let Lynette has originally candies in hand = x
She gave half to her son means x/2 given to son.
2 candies gave to daughter and left with 4.
x - x/2 - 2 = 4
adding 2 both sides
x - x/2 - 2 + 2 = 4 + 2
x - x/2 = 6
x /2 = 6
x = 12
Means she have 12 candies originally : Answer
Hope it will help :)