AP - basics

Determine the first member and differentiate the following sequence:

a3-a5=24
a4-2a5=61

Correct answer:

a =  -1
d =  -12

Step-by-step explanation:


a+2d -(a+4d) = 24
a+3d - 2(a+4d) = 61


a+2·d -(a+4·d) = 24
a+3·d - 2·(a+4·d) = 61

2d = -24
a+5d = -61

Pivot: Row 1 ↔ Row 2
a+5d = -61
2d = -24


d = -24/2 = -12
a = -61-5d = -61-5 · (-12) = -1

a = -1
d = -12

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