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1, 4, 9, 16,__
123, 234, 345, 456,__

what do you think the next number is and how did you get it?

2006-08-18 11:44:03 · 10 answers · asked by Anonymous in Education & Reference Homework Help

10 answers

1^2=1, 2^2=4, 3^2=9, 4^2=16, 5^2=25
123+111= 234+111= 345+111= 456+111= 567

2006-08-18 11:51:48 · answer #1 · answered by Pete S 3 · 0 0

The first line is the total of the next consecutive square root. Ex: sq rt of 1 =1, sq rt of 2=4, sqrt of 3=9, sqrt of 4=16, so the next logical answer is 25, which is the total of sqrt of 5.

The next answer is 567. Look at the numbers before. 123, then use the last two numbers of that and add a digit, 234, then 345, then 456, so the next logical answer is 567.

have fun

2006-08-18 18:51:35 · answer #2 · answered by class act 4 · 0 0

The first sequence has to deal with square roots.
1 sq.=1
2 sq.=4
3 sq.=9
4 sq.=16
The next number is equal to 5 sq. The answer is 25 (5 x 5).

The second sequence has to deal with the numbers moving around. 123, 234, 345, 456, 567. 567 is the answer. Just cover up the first number and add a new one. If there was another blank spot, it would be 678.

2006-08-18 20:41:46 · answer #3 · answered by Shannon A 3 · 0 0

Okay the next number after 16 is 25 because from 1 to 4 u add 3 den from 4 to 9 u add 5 and den from 9 to 16 u add 7 so it goes 3 5 7 so den u hav to add nine so it's 25

and da number after 456 is 567 cuz it goes 123 den u use da 2 and go up u always use da middle number and add two mor numbers get it? if not email me


so its 25 and 567

well everyone already has da answer so yeah lol

2006-08-18 18:54:01 · answer #4 · answered by MGM 3 · 0 0

1,4,9,16 - 25
1+3=4+5=9+7=16+9=25 (add 3, 5, 7, 9...)

123,234,345,456-567
use the last 2 digits from the previous 3 as the next 2 + the next number (45-6, 56-7)

2006-08-18 18:52:49 · answer #5 · answered by Steffi 3 · 0 0

think of the differences in the first one..


1 +3 = 4, 4+5 = 9, 9+7 = 16.......if u see what they have is common is that you have to add consecutive odd numbers! so after 16, u have to add + 9 and you get 25

if u look at the 2nd one.... it's in consecutive fashion using the last 2 numbers to start the next one...

123
234
456
............
567!

2006-08-18 18:52:17 · answer #6 · answered by sasmallworld 6 · 0 0

perfect squares
1^2, 2^2, 3^2, 4^2,
next number is 25 (5^2)

take the last 2 digits from the previous number write with it the next number after the last digit
next number is 567

2006-08-18 22:20:12 · answer #7 · answered by Anonymous · 0 0

1, 4, 9, 16, 25

1x1, 2x2, 3x3, 4x4, 5x5

123, 234, 345, 456, 567

Did you really need help or is this for kicks??

2006-08-18 18:50:22 · answer #8 · answered by a_rowe2004 2 · 0 0

You apparently have two sequences.

* The first sequence is the squares of natural numbers, so the next number is 25, followed by 36, then 49.

* The second sequence is three successive digits; the next entry is 567, followed by 678, followed by 789.

2006-08-18 18:51:53 · answer #9 · answered by Tom D 4 · 0 0

25( you are adding consecutive odds starting with 3) and 567( 2nd number in sequence starts the next with the next consecutive number added on)

2006-08-18 18:51:47 · answer #10 · answered by Anonymous · 0 0

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