Go back to Pascal’s triangle. Line-1: 1=11° Line-2: 11 = 111 Lin

1.	Go back to Pascal’s triangle. Line-1: 1=11° Line-2: 11 = 111 Line-3 : 121 = 112 Make a conjecture about line – 4 and line – 5.Does your conjecture hold ? Does your conjecture hold for line – 6 too ?
Answer» Line-4 : 1331 = 11³ Line-5 : 14641 = 11⁴ Line – 6 : 11⁵ ∴ Line – n = 11^n-1 Yes the conjecture holds good for line – 6 too.

Go back to Pascal’s triangle. Line-1: 1=11° Line-2: 11 = 111 Line-3 : 121 = 112 Make a conjecture about line – 4 and line – 5.Does your conjecture hold ? Does your conjecture hold for line – 6 too ?

Answer»

Line-4 : 1331 = 11³

Line-5 : 14641 = 11⁴

Line – 6 : 11⁵

∴ Line – n = 11^n-1

Yes the conjecture holds good for line – 6 too.