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Eduardwww [97]
3 years ago
8

Find the 51st term of the arithmetic sequence 29, 9, -11,...

Mathematics
1 answer:
mina [271]3 years ago
5 0

Answer:

Step-by-step explanation:

arithmetic sequences can be written as

a_n = a_1 + (n-1)d

29 = a_1 + (1-1)d\\29 = a_1\\9 = 29 + (2-1)d\\9 = 29 + d\\d = -20\\a_n = 29 -20 (n-1)\\a_n = 29 - 20n+20\\a_n = -20n + 49\\\\a_51 = -20(51)  + 49 = -951

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