Find-the-next-term-in-this-sequence-26-63-124-

Question Number 113374 by Aina Samuel Temidayo last updated on 12/Sep/20

Find the next term in this

sequence : 26, 63, 124,__

Commented by Tony6400 last updated on 13/Sep/20

Ans is 209

Commented by Aina Samuel Temidayo last updated on 13/Sep/20

Solution please ?

Commented by Tony6400 last updated on 13/Sep/20

I have the solution but dont know how to send. Help me

Commented by Tony6400 last updated on 13/Sep/20

Whatsaap me on +233245475819

Commented by nimnim last updated on 13/Sep/20

26, 63, 124, \dots . .

= (3^{3} - 1), (4^{3} - 1), (5^{3} - 1), (6^{3} - 1), \dots .

∴ next term = 6^{3} - 1 = 215

Answered by Tony6400 last updated on 13/Sep/20

Commented by Aina Samuel Temidayo last updated on 13/Sep/20

How did you know U_{n} = {an}^{2} + bn + c

Commented by 1549442205PVT last updated on 13/Sep/20

This thing depende on view point of

person who give the question because

can find a polynomial of degree 3

satisfying U_{1} = 26, U_{2} = 63, U_{3} = 124

Ex : U_{n} = n^{3} + {6 n}^{2} + 12 n + 7