What is the next number? What is the 10th number? 0, 4, 8, 12, 16, ___ Arithmetic Sequence Finding for the next number The 10th number of the sequence 0, 4, 8, 12, 16, ____ is 36. Solution: Given the following: a₁ = 0 a₂ = 4 a₃ = 8 a₄ = 12 a₅ = 16 2. Find the difference between the second term and the first term. d = a₂ – a₁ d = 4 – 0 d = 4 3. Using d = 4, find the 10th term. a_n = a₁ + (n - 1) d a₁₀ = 0 + (10 – 1)4 a₁₀ = 0 + (9)4 a₁₀ = 0 + 36 a₁₀ = 36 4. Therefore, the 10th term of the sequence is 36 . Definition: An arithmetic sequence is a sequence of numbers such that the difference of any two consecutive terms of the sequence is a constant. While an arithmetic series is the sum of the terms of the arithmetic sequence. Code: 10.3.1.1 .1 For more details on arithmetic sequence, got to the following links: brainly.ph/question/554855 brainly.ph/question/825249 brainly.ph/question/211921
Allan has 360 stamps. He gave some to Aaron and gave 1/4 of the remainder to Riza. If Allan has 225 stamps left, how many did he give Aaron? Answer: Allan gave 60 stamps to Aaron. Step-by-step explanation: Represent: Allans stamps: 360 Stamps Allan gave to Aaron : x Remainder or remaining stamps after Allan gave some to Aaron: 360-x Stamps given to Riza ⇒ 1/4 of the remainder: 1/4(360-x) Number of stamps left with Allan: 225 Equation: Allans stamps - (stamps given to Aaron + stamps given to Riza) = stamps left with Allan 360 - x + (1/4)(360-x) = 225 Find the x, the number of stamps Allan gave to Aaron: 360 - x + 90 - x/4 = 225 360 - x - 90 + x/4 = 225 360 - 90 - 225 = x - (x/4) 45 = x - (x/4) (4) 45 = x - (x/4) (4) 180 = 4x - x 180 = 3x 3x/3 = 180/3 x = 60 Allan gave 60 stamps to Aaron. Substitute, x=60: Rizas stamps = (1/4) (360 - 60) = (1/4) (300) = 75 stamps Check: 360 - (60 + 75) = 225 360 - 135 = 225 225 = 225 (True)
Write TRUE if the statement is true. Otherwise, modify the underlined word(s) to make it true. 2. Every polynomial equation of degree n has n – 1 real roots. Polynomial Equation: "Every polynomial equation of degree n has n - 1 real roots." This statement is false and in order to make it a true statement it should be... "every polynomial equation of degree n has at most n real roots" which is a consequence of the Fundamental Theorem of Algebra. Definition: A polynomial equation is any polynomial equated to zero . Examples: x - 2 = 0 x² + 2x + 5 = 0 5x + 1 = 0 x³ - 2x² - 4x + 8 = 0 x(x - 4) = 0 Explanation: x - 2 = 0 the number of root(s) is just 1 since it is a polynomial of the first degree. x² + 2x + 5 = 0 the number of root(s) is 2 since it is a polynomial of the second degree. 5x + 1 = 0, there is only 1 root because it is a polynomial equation of the first degree. x³ - 2x² - 4x + 8 = 0 have 3 roots since its high...
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