Kill_the_sequence

Number Theory Level 2

Find next term...

1, 5, 17, 43, 89, .....

176 213 161 143

Rahul Paswan by Rahul Paswan , 26, India

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1 solution

Pranjal Jain
Dec 22, 2014

General term is n 3 + ( n + 1 ) 2 \boxed{n^{3}+(n+1)^{2}} n = 0 ⇒ 1 n = 1 ⇒ 5 n = 2 ⇒ 17 n = 3 ⇒ 43 n = 4 ⇒ 89 n = 5 ⇒ 161 n=0\Rightarrow 1\\n=1\Rightarrow 5\\n=2\Rightarrow 17\\n=3\Rightarrow 43\\n=4\Rightarrow 89\\n=5\Rightarrow \boxed{\boxed{161}}

2 Helpful 0 Interesting 0 Brilliant 0 Confused

This is a series of odd numbers in last digit. 1, 5, 7, 3, 9. So the next term ends with 1, so ans is 161.

Anish Harsha - 6 years, 5 months ago

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I don't think its a good idea. @Aditya Raut What do you think?

Pranjal Jain - 6 years, 5 months ago

Good observational skills to actually notice that pattern . upvoted !!!

A Former Brilliant Member - 6 years, 4 months ago

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