Answers

  • Brainly User
2016-06-26T13:59:49+08:00
First find the common difference:
a₁ = y     a₂= x      a₃ = 2x - y

a₂ - a₁ = x - y
a₃ - a₂ = (2x-y) - (x) = x - y

General Rule:   an = a₁ + (n-1) (d)

a₁ = y      n = 10      d = x-y

a₁₀ = y + (10-1) (x-y)
a₁₀ = y + (9) (x-y)
a₁₀ = y + 9x - 9y
a₁₀ = 9x + y - 9y
a₁₀ = 9x - 8y

ANSWER:  The 10th term of the sequence is 9x-8y.

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