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What is the next number in the sequence? 2, 3, 10, 15, 26, 35, 50, ?

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- Thread starter cjbreen
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- #1

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What is the next number in the sequence? 2, 3, 10, 15, 26, 35, 50, ?

- #2

cristo

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Is this some sort of homework question?

- #3

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63

1st..(1*1)+1 odd

2nd (2*2)-1 even

3rd (3*3)+1 odd

....

8th (8*8)-1 even

1st..(1*1)+1 odd

2nd (2*2)-1 even

3rd (3*3)+1 odd

....

8th (8*8)-1 even

- #4

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basically, the differences between them respectively, are 1, 7, 5, 11, 9, and 15.

divide it like this: 1, 7, 5, and 11, 9, 15

then take the sum of the last two digits in the first set, and subtract the first. so in this case, 7 + 5 -1.

you get 11, which is the next difference.

do this with the second set of 11, 9, and 15 and you'll get 13 as the next difference, meaning that 50 + 13 should be the next number.

that's how i got 63.

let me know what you guys think.

- #5

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basically, the differences between them respectively, are 1, 7, 5, 11, 9, and 15.

divide it like this: 1, 7, 5, and 11, 9, 15

then take the sum of the last two digits in the first set, and subtract the first. so in this case, 7 + 5 -1.

you get 11, which is the next difference.

do this with the second set of 11, 9, and 15 and you'll get 13 as the next difference, meaning that 50 + 13 should be the next number.

that's how i got 63.

let me know what you guys think.

This is what I was thinking as well. I suspect it.anoopk's solution was probably the original intention. Seems a bit less random.

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- #8

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that was too easy

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- #10

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