Please answer this maths question!
Answers
Step-by-step explanation:
Equation for blue ball = n^2 + (n-1)^2
no. of blue ball in the 4th steps will be = 4^2 + (4-1)^2
= 16+(3)^2. = 16 + 9 = 25
no. of blue ball in the 5th steps will be = 5^2 + (5-1)^2
= 25 + 16 = 41
no. of blue ball in the 6th steps will be = 6^2 + (6-1)^2
= 36 + 25 = 61
Equation for green ball = 2n + 2(n-1)
no. of green ball in the 4th steps will be = 2×4 + 2×(4-1)
= 8 + 2(3) = 8 + 6 = 14
no. of green ball in the 5th steps will be = 2×5 + 2×(5-1)
=10 + 8 = 18
no. of green ball in the 6th steps will be =2×6 + 2×(6-1)
= 12 + 10 = 22
Orange ball = 1 in every steps
Total no. of balls in 4th steps = 25(blue) +14(green) + 1(orange) = 40
Total no. of balls in 5th steps = 41(blue) + 18(green) + 1(orange) = 60
Total no. of balls in 6th steps = 61(blue) + 22(green) + 1(orange) = 84
Equation for Total Number of balls =
n^2 + (n-1)^2 + 2n + 2(n-1) + 1