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How are Creative Arts named? 2. What is the name of the note? 3. Sting: A pair of quaver instruments produce sound through 4. Name one way of tuning string instruments 5. A glove puppet is best mode from-Sock

Mathematics

ScanSolve AI Answer

Step-by-step solution

3 steps
  1. Identify the numbers representing the count of each colour

    $5, 4, 3, 2, 1$ colours.

  2. Recognize this as an arithmetic series with first term a=5a=5, common difference d=−1d=-1, number of terms n=5n=5.

    Formula for the sum SnS_n of the first nn terms of an arithmetic series:

    Sn=n2[2a+(n−1)d]S_n = \frac{n}{2} \bigl[2a + (n-1)d\bigr]
  3. Substitute the values

    S5=52[2(5)+(5−1)(−1)]S_5 = \frac{5}{2} \bigl[2(5) + (5-1)(-1)\bigr] S5=52[10+4(−1)]S_5 = \frac{5}{2} \bigl[10 + 4(-1)\bigr] S5=52[10−4]S_5 = \frac{5}{2} \bigl[10 - 4\bigr] S5=52(6)S_5 = \frac{5}{2} (6) S5=5×3S_5 = 5 \times 3 S5=15S_5 = 15

    Total: 15\boxed{15} colours

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