What comes next?

Algebra Level 1

What number comes next in the following sequence?

4 , 9 , 16 , 25 , 4,9,16,25,\ldots


The answer is 36.

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7 solutions

Mohammad Khaza
Jul 21, 2017

it can be solved in 2 ways,

(1)at first look at the difference of the sequence-5,then 5+2= 7,next 7+2= 9,

so, the wanted value is ,25+11=36........(9+2=11)

now,(2), the 1st sequence =4 ................ 2 2 2^2

the 2nd sequence= 9.......................... 3 2 3^2

the 3rd sequence is =16...................... 4 2 4^2

the 4th sequence is =25.................... 5 2 5^2

so, the next one will be=36............ 6 2 6^2

Ashish Menon
May 29, 2016

The answer is the next perfect square which is 36 \color{#69047E}{\boxed{36}} .

Highlight King
Oct 2, 2015

Increasment is 5 7 9 then 11 25+11=36

Naren Raj
Nov 17, 2014

it is sequence square numbers

Kelly Niu
Nov 10, 2014

Write a solution. add2

Dinesh Grover
Oct 19, 2014

see the squares of number 2 square=4, 3 square =9, 4=16, 5=25 , 6=36

Another solution...the difference between the numbers is increasing by 2.

Anuj Shikarkhane - 6 years, 7 months ago

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