In an arithmetic sequence, a1=5 and a6=-5. Determine an equation for an, the nth term of this sequence.
1 answer:
Answer: 7 - 2n
Step-by-step explanation:
a1 = 5
a6 = -5 = a + (n - 1)d = a + (6 - 1)d
a + 5d = -5
Since a1 = 5
5 + 5d = -5
5d = -5 - 5
5d = -10
d = -10/5
d = -2
Therefore, the equation to calculate the nth term of this sequence will be:
= a + (n-1)d
= a + (n - 1)-2
= 5 -2n +2
= 7 - 2n
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