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Mathematics 19 Online
OpenStudy (anonymous):

To begin the half-time performance, a high school band marches onto the football field in a pyramid formation. The drum major leads the band alone in the first row. There are two band members in the second row, three in the third row, four in the fourth row, and so on. The pyramid formation has 25 rows. How many members does the band have?

OpenStudy (anonymous):

Sum of triangular numbers

OpenStudy (nikato):

Well u can think of it as an arithmetic sequence 1,2,3,4,5,...,25

OpenStudy (nikato):

Then u can find the sum of this arithmetic sequence http://www.purplemath.com/modules/series4.htm

OpenStudy (nikato):

Do u know what n, an and a1 are?

OpenStudy (anonymous):

is n 25?

OpenStudy (nikato):

Yes

OpenStudy (anonymous):

an would be 25?

OpenStudy (nikato):

Yes

OpenStudy (anonymous):

a1 would be 1?

OpenStudy (nikato):

Yes. Now plug it into that formula

OpenStudy (anonymous):

325

OpenStudy (nikato):

Correct

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