MAT 214 Prof. Erstenyuk Name: 1.2 Patterns and Pascal's Triangle c.) If the first element in a row (after 1) is a prime number, all the other numbers in that row are divisible by it! Show this is true for the number 7 and for one other prime number of your choice. The row for 7: One other row: d.) Find the sum of each row in Pascal's triangle, up to row 9. Rows O to 3 have been completed for you. 1 ROW O row 0 sum = 1 1 1] Row 1 row 1 sum = 2 12 1 Row 2 row 2 sum = 4 13 3 1 Row 3 row 3 14 6 4 1 Row 4 row 4 1 5 10 10 5 1 row 5 row 6 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1 row 7 row 8 1 8 28 56 70 56 28 8 1 row 9 1 9 36 84 126126 84 36 9 1 1 10 45 120 210 252 210 120 45 10 1 1 11 55 165 330 462 462 330 165 55 1 1 1 1 12 66 220 495 792 924 792 495 220 66 121 1 1 13 78 186 715 1287 1716 1716 1287 715 186 78 13 1 Explain the pattern of the sums answers, in words. Yes, you can see what happens as you look down the answers, but instead, look across: how does the row number relate to the sum? e.) Use your answer to the previous part to find the sum of row 20, without writing out the row