What is the nth term of the arithmetic sequence 7, 9, 11, 13, 15, 17, . .? a. 3n+4 b. 4n+3 c. n+2 d. 2n+5 Arithmetic Sequence Finding the nth term: The nth term of the arithmetic sequence 7, 9, 11, 13, 15, 17, . . is 2n + 5. Solution: 1. Given the following: a₁ = 7 a₂ = 9 a₃ = 11 a₄ = 13 a₅ = 15 a₆ = 17 2. Solve for d. d = a₂ – a₁ d = 9 – 7 d = 2 3. Solve for the nth term. a_n = a₁ + (n - 1) d a_n = 7 + (n – 1) 2 a_n = 7 + (2n – 2) a_n = 2n + (7 – 2) a_n = 2n + 5 4. Therefore, the nth term of the arithmetic sequence 7, 9, 11, 13, 15, 17 , . .is 2n + 5. 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 For more details on arithmetic sequence, got to the following links: brainly.ph/question/5...
What do you call the given equations? Polynomial Equation: 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 Number of Roots: The number of root(s) of the polynomial equation is based on the highest degree of the exponent it contain. Example #1: x - 2 = 0 the number of root(s) is just 1 since it is a polynomial of the first degree. Example #2: x² + 2x + 5 = 0 the number of root(s) is 2 since it is a polynomial of the second degree. Example #3: 5x + 1 = 0, there is only 1 root because it is a polynomial equation of the first degree. Example #4: x³ - 2x² - 4x + 8 = 0 have 3 roots since its highest degree is 3. Example #5: x(x - 4) = 0 have 2 roots because it is a polynomial equation of the second degree. Code: 10.3.1.2.3 For more information regarding polynomial equations, go to the following links: brainly.ph/question/236852 brainly.ph/question/1690308 brainly.ph/question/16719...
What is the average speed in kph of a car travelling 160 kilometers in 5 hours? Answer: The speed of the car is 32 km/h Step-by-step explanation: Speed = distance/time Speed = 160 km/5 hrs Speed = 32 km/h
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