What are the first and last terms of an arithmetic sequence when is arithmetic means are 35,15 and -5? Answer: first term 55 last term -25 Step-by-step explanation: first term 55 55 - 20 = 35 second term 35 35 - 20 = 15 third term 15 15 - 20 = -5 fourth terms -5 -5 - 20 = -25 last term 25 d=20 greatest to lowest......
What is the solution of this answer?? First, lets factor it out. Lets find the factors of 9, we have 1, 9. Then, lets find the factors of d^2, it gives us d and another d. Make 2 parentheses. ( )( ) Fill it with 2 "d"s (d )(d ) Since the quadratic equations operations are all addition put the symbol "+" in the parentheses, right after d. (d + )(d + ) Next, put 1 and 9 after the "+" symbol (d + 1)(d + 9) Lets check if its right! Apply the FOIL METHOD F = d • d O = 9 • d I = 1 • d L = 9 Resulting to, d^2 + 9d + d + 9 Then simplify d^2 + 10d + 9 So its correct! Finally, separate the two factors (d + 1) --- (d + 9) Do this, (d + 1) = 0 (d + 9) = 0 Equate the two "d"s On the first equation, subtract 1 to both sides making d = -1 On the second equation, subtract 9 to both sides making d = -9 There you have it! The solutions are -1 and -9
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