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The 3rd term of an A P is 4x - 2y and the 9th t... - JAMB Mathematics 2000 Question

The 3rd term of an A.P is 4x - 2y and the 9th term is 10x - 8y. Find the common difference.
A
19x - 17y
B
8x - 4y
C
x - y
D
2x
correct option: c

n = 3, U3 = 4x - 2y,

Un = a + (n+1)d,

4x - 2y = a + 2d (1)

U9 = 10x - 8y,

10x - 8y = a + 8d (2)

Solving (1) and (2), d = 6(x-y)/6

d = x-y.

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