A table shows the number of cups (C) for each figure number (n). Figure 1 has 1 cup, Figure 2 has 3 cups, Figure 3 has 5 cups, and Figure 4 has 7 cups. Find a formula for C in terms of n and calculate

Alright paulinadooh@gmail.com — let's do this. Step 1: Identify the pattern in the given table. The table shows the relationship between the figure number (n) and the number of cups (C). For Figure 1, Cups = 1 For Figure 2, Cups = 3 For Figure 3, Cups = 5 For Figure 4, Cups = 7 We can see that the number of cups increases by 2 for each subsequent figure. This is an arithmetic progression. The common difference d = 2. The first term a = 1. The formula for the n-th term of an arithmetic progression is C_n = a + (n-1)d. Substituting the values: C_n = 1 + (n-1)2 C_n = 1 + 2n - 2 C_n = 2n - 1 Step 2: Calculate the number of cups for the 15th figure. Using the formula C_n = 2n - 1, substitute n = 15: C_15 = 2(15) - 1 C_15 = 30 - 1 C_15 = 29 The number of cups for the 15th figure is 29. Step 3: Calculate the number of cups for the 20th figure. Using the formula C_n = 2n - 1, substitute n = 20: C_20 = 2(20) - 1 C_20 = 40 - 1 C_20 = 39 The number of cups for the 20th figure is 39. Send me the next one 📸