ARITHMETIC AND GEOMETRIC SEQUENCES. During this assignment, you will have to determine which sequences are arithmetic and which are geometric.
Identify each piece of the formula. solution common difference term you are looking for the term before the 1st term Identify the parts of the formula. solution the term before the 1st term in the sequence common ratio term you are wanted to find Determine whether the sequences are arithmetic, geometric, or neither. Arithmetic 33, 40, 47, 54,... -39, 61, 161, 261, ... 23, 53, 83, 113,... -18, -20, -22, -24,... -13, -17, -21, -25,... Geometric -1, -5, -25, -125,... 1, -4, 16, -64,... 2, -12, 72, -432,... 2, -6, 18, -54,... -2, -4, -8, -16,... Neither -14, -6, -2, 0,... 11, 117, 1177, 11777,... -6, -4, -1, 3,... -1, 2, -6, 24,... -1, 1, -4, 8,... Match the common difference to the correct sequence. Be careful. Some of these are arithmetic and some are geometric. 10, -10, -30, -50,... -20 -30, 170, 370, 570,... 200 -33, -40, -47, -54,... -7 -31, -22, -13, -4,... 9 107, 1074, 10744, 107444,... none -18, -26, -34, -42,... -8 -9, -15, -21, -27,... -6 19, 21, 23, 25,... 2 40, 36, 32, 28,... -4 -21, -17, -13, -9,... 4 Find the a0term of the sequences. Some of these are arithmetic and some are geometric. -4, -12, -36, -108,... -1.33333 2, -4, 8, -16,... -1 15, 21, 27, 33,... 9 -2, 6, -18, 54,... .66666 37, 32, 27, 22,... 42 Fill in the blanks. When you have a arithmeticsequence you have a common difference that is added or subtracted to find the next term, but in a geometric sequence you have a common ratio that is multiplied or divided to find the next term. Match the sequences with the correct formula. Take your time. Some of these are arithmetic and some are geometric. Remember, you need to find the "d" or "r", and the a0 term. Then sub these numbers into the necessary formula. There is no specific term mentioned, so the "n" does not change. Arithmetic Formula: an= d(n) + a0Geometric Formula: an = a0 * (d)n^ (this is how to make an exponent)* (this is how to show multiplication) -27, -36, -45, -54,... -9(n)-18 -1, -3, -9, -27,... -.333*(3)^n -32, -29, -26, -23,... 3(n)-35 -4, 16, -64, 256,... 1*(-4)^n 17, 8, -1, -10,... -9(n)+26 2, 10, 50, 250,... .4*(5)^n Match the specified term and sequence. Some of these sequences are arithmetic and some are geometric. BE CAREFUL!!! Use the correct formula. Arithmetic Formula: an= d(n) + a0Geometric Formula: an = a0 * (d)n 21, 31, 41, 51,... Find the 52nd term. 531 3, 9, 27, 81,... Find the 9th term. 19683 -4,-12,-36, -108,... Find the 11th term. -236196 9, 15, 21, 27,... Find the 29th term. 177 -32, -35, -38, -41,... Find the 30th term. -119 7, 16, 25, 34,... Find the 35th term. 313