A few days ago
Anonymous

Can You help me with this math question.. ( 10th grade level)?

there is a pic that shows

pic 1

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pic 2

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pic 3

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question 1 asys how many rows and columns..

pic 1, has 2 and 2,, pic 2 has 3 and 3 pic 3 has 4 and 4

Q number 2 says total dots..

pic 1.. has 3 pic 2 has 6 pic 3 has 10

than #4 ( number 3 dont matter)

asks

can you develope a formula for the number of dots in an image with “x” rows?? Explain why this formula works..

i know how to get it

if there is 3 rows,,,

u find out the total by adding all the numbers before it including 3

like 1 +2+3 = 6 which is the total number of it if it had 3 rows ( see pic 2)

if there is 8 rows u go

1+2+3+4+5+6+7+8 = the total but dont knwo hwo to put that using a variable..

check ur solution by predicting the numbers of dots in an image with 10 row ( after u put 10 in place of ‘x’ u should get 55)

Top 2 Answers
A few days ago
Anonymous

Favorite Answer

you can just plug in values to find that the equation is a quadratic in the form n(n+1)/2, where n is the number of rows

to prove it, proceed by induction. for your base case n=1, obviously n(n+1)/2 equals 1. now for our inductive step, n(n+1)/2 + (n+1) equals (n+1)(n+2)/2 which is of the form n(n+1)/2 for n+1 so our induction is complete.

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A few days ago
Anonymous
1+2+3+4+5+6+7+8+…+n

=n(n+1)/2

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