3 years ago

Write an arithmetic sequence that has a common difference of -3 and whose

Mathematics

1 answer:

allsm [11]3 years ago

8 0

Answer:

Step-by-step explanation:

arithmetic sequences can be written as

$a_n = a_1 + (n-1)d\\$

in this case

$a_n = a_1 + (n-1)(-3)\\and\\17 = a_1 +(4-1)(-3)\\17= a_1 + (3)(-3)\\17= a_1 - 9\\a_1 = 26\\so\\a_n = 26 - 3(n-1)\\a_n = 26 -3n + 3\\a_n = 29 - 3n$

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