# arithmetic

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If the first term of an arithmetic sequence is 10 and the 13th term is 58, what is the common difference?

• arithmetic -

The nth term of an arithmetic progression is defined by
n = a + (n-1)d where,
n = the nth term
a = the first term
d = the common difference

Therefore,
58 = 10 + (13 - 1)d
48 = 12d
d = 4

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