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A day full of math games & activities. Find one near you.
Find an equation for the nth term of the arithmetic sequence. -15, -6, 3, 12, …
Solution:
Given, the series is -15, -6, 3, 12,........
The first term, a = -15
Common difference, d = -6 - (-15)
d = -6 + 15
d = 9
We have to find an equation for the n-th term of the given arithmetic sequence.
The n-th term of an arithmetic sequence is given by aₙ = a + (n - 1)d
So, an = -15 + (n - 1)(9)
an = -15 + 9n - 9
an = 9n - 24
Therefore, the equation of n-th term of the sequence is an = 9n - 24.
Find an equation for the nth term of the arithmetic sequence. -15, -6, 3, 12, …
Summary:
An equation for the n-th term of the arithmetic sequence -15, -6, 3, 12,..... is an = 9n - 24.
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