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

$$\mathrm{Find}\mathrm{the}\mathrm{next}\mathrm{term}\mathrm{in}\mathrm{this}$$$$\mathrm{sequence}:26,63,124,\mathrm{\_}\mathrm{\_}$$

Commented by Tony6400 last updated on 13/Sep/20

Ans is 209

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

$$\mathrm{Solution}\mathrm{please}?$$

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

$$26,63,124,.....$$$$=(3^3-1),(4^3-1),(5^3-1),(6^3-1),....$$$$\therefore \mathrm{next}\mathrm{term}=6^3-1=215$$

Answered by Tony6400 last updated on 13/Sep/20

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

$$\mathrm{How}\mathrm{did}\mathrm{you}\mathrm{know}{\mathrm{U}}_{\mathrm{n}}={\mathrm{an}}^2+\mathrm{bn}+\mathrm{c}$$

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

$$\mathrm{This}\mathrm{thing}\mathrm{depende}\mathrm{on}\mathrm{view}\mathrm{point}\mathrm{of}$$$$\mathrm{person}\mathrm{who}\mathrm{give}\mathrm{the}\mathrm{question}\mathrm{because}$$$$\mathrm{can}\mathrm{find}\mathrm{a}\mathrm{polynomial}\mathrm{of}\mathrm{degree}3$$$$\mathrm{satisfying}{\mathrm{U}}_1=26,{\mathrm{U}}_2=63,{\mathrm{U}}_3=124$$$$\mathrm{Ex}:{\mathrm{U}}_{\mathrm{n}}={\mathrm{n}}^3+{6\mathrm{n}}^2+12\mathrm{n}+7$$

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