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# Arithmetic Progressions

What's the sum of the first 100 positive integers? How about the first 1000? Learn the fun and fast way to solve problems like this.

Which of these sequences are arithmetic progressions?

\[\text{A: }\{16, 12, 8, 4\}\] \[\text{B: }\{8, 3, -2, -7\}\]

Which of these sequences are arithmetic progressions?

\[\text{A: }\left\{\frac{3}{2},\frac{5}{2},\frac{7}{2}\right\}\] \[\text{B: }\left\{\frac{5}{3},3,\frac{13}{3}\right\}\]

Which of these sequences are arithmetic progressions?

\[\text{A: }\{6,4,2,0,-2,-4,-6\}\] \[\text{B: }\{6,4,2,0,2,4,6\}\]

Which of these sequences are arithmetic progressions?

\[\text{A: }\{-1,3,-5,7,-9\}\] \[\text{B: }\{-9,-5,-1,3,7\}\]

Which of these sequences are arithmetic progressions?

\[\text{A: }\{-10,-5,5,10,15\}\] \[\text{B: }\{-10,-5,0,5,10\}\]

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