The equation to represent the nth term of the arithmetic sequence 10,0,−10,−20 is 20 - 10n
Given:
10,0,−10,−20
first term, a = 10
common difference, d = second term - first term
= 0 - 10
= -10
nth term = a + (n - 1) d
where,
n = number of terms
nth term = a + (n - 1) d
= 10 + (n - 1) -10
= 10 - 10n + 10
= 20 - 10n
nth term = 20 - 10n
Therefore, the equation to represent the nth term of the arithmetic sequence 10, 0, −10, −20 is 20 - 10n
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