Kathleen Kathleen

10-12-2016
Mathematics

Answered

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

Verified Answer :

wolffiegirl wolffiegirl

10-12-2016

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)

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