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
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

ScanSolve AI Answer

Answer

15

Step 1: Identify the numbers representing the count of each colour: 5,4,3,2,15, 4, 3, 2, 1 colours.

Step 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+(n1)d]S_n = \frac{n}{2} \bigl[2a + (n-1)d\bigr]

Step 3: Substitute the values:
S5=52[2(5)+(51)(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[104]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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Identify the numbers representing the count of each colour: 5, 4, 3, 2, 1 colours.

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

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Step 1: Identify the numbers representing the count of each colour: 5, 4, 3, 2, 1 colours. Step 2: Recognize this as an arithmetic series with first term a=5, common difference d=-1, number of terms n=5. Formula for the sum S_n of the first n terms of an arithmetic series: S_n = (n)/(2) [2a + (n-1)d] Step 3: Substitute the values: S_5 = (5)/(2) [2(5) + (5-1)(-1)] S_5 = (5)/(2) [10 + 4(-1)] S_5 = (5)/(2) [10 - 4] S_5 = (5)/(2) (6) S_5 = 5 × 3 S_5 = 15 Total: 15 colours