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19 April, 04:06

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Complete the recursive formula of the arithmetic sequence 13,6, - 1, - 8, ...

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  1. 19 April, 06:53
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    You subtract 7 from the current one to get the next.

    f (1) = 13,

    f (n) = f (n-1) - 7

    Some numbers in the sequence:

    f (1) = 13,

    f (2) = 6,

    f (3) = -1,

    f (4) = -8,

    f (5) = -15,

    f (6) = -22,

    f (7) = -29,

    f (8) = -36,

    f (9) = -43,

    f (10) = -50,

    f (11) = -57,

    f (12) = -64,

    f (13) = -71,

    f (14) = -78,

    f (15) = -85,

    f (16) = -92,

    f (17) = -99,

    f (18) = -106,

    f (19) = -113,

    f (20) = -120,

    f (21) = -127,

    f (22) = -134,

    f (23) = -141,

    f (24) = -148,

    f (25) = -155,

    f (26) = -162,

    f (27) = -169,

    f (28) = -176,

    f (29) = -183,

    f (30) = -190,

    f (31) = -197,

    f (32) = -204,

    f (33) = -211,

    f (34) = -218,

    f (35) = -225,

    f (36) = -232,

    f (37) = -239,

    f (38) = -246,

    f (39) = -253,

    f (40) = -260,

    f (41) = -267,

    f (42) = -274,

    f (43) = -281,

    f (44) = -288,

    f (45) = -295,

    f (46) = -302,

    f (47) = -309,

    f (48) = -316,

    f (49) = -323,

    f (50) = -330,

    f (51) = -337,

    f (52) = -344,

    f (53) = -351,

    f (54) = -358,

    f (55) = -365,

    f (56) = -372,

    f (57) = -379,

    f (58) = -386,

    f (59) = -393,

    f (60) = -400,

    f (61) = -407,

    f (62) = -414,

    f (63) = -421,

    f (64) = -428,

    f (65) = -435,

    f (66) = -442,

    f (67) = -449,

    f (68) = -456,

    f (69) = -463,

    f (70) = -470,

    f (71) = -477,

    f (72) = -484,

    f (73) = -491,

    f (74) = -498,

    f (75) = -505,

    f (76) = -512,

    f (77) = -519,

    f (78) = -526,

    f (79) = -533,

    f (80) = -540,

    f (81) = -547,

    f (82) = -554,

    f (83) = -561,

    f (84) = -568,

    f (85) = -575,

    f (86) = -582,

    f (87) = -589,

    f (88) = -596,

    f (89) = -603,

    f (90) = -610,

    f (91) = -617,

    f (92) = -624,

    f (93) = -631,

    f (94) = -638,

    f (95) = -645,

    f (96) = -652,

    f (97) = -659,

    f (98) = -666,

    f (99) = -673,
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