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The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?

The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?
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5 votes
The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence?

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User Evgeny Shurakov
by
8.1k points

1 Answer

2 votes
a = -3
nth term (u_n) = rn -3, where r = difference between each term

u_1 = -3
u_15 = 53 = 15r -3
u_15 = 56 = 15r
u_15 = 56 / 15 = r

u_n = (56/15)n - 3
answered
User Mangusbrother
by
8.7k points
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