Write the rule for the nth term of an arithmetic sequence in which a10=46 and d=3

Question

Mathematics

Armani Beasley

17 January, 06:05

Write the rule for the nth term of an arithmetic sequence in which a10=46 and d=3

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Answers (1)

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Alanna Castillo · Answer 1

Equation for arithmetic sequence

a{n} = a{1} + d (n - 1)

Plug in known values

2 = a{1} + - 4 (10 - 1)

2 = a{1} - 36

38 = a{1}

a{1} = 38

Plug d = - 4 and a{1} = 38 into

arithmetic sequence equation

a{n} = 38 - 4 (n - 1)