AP - basics

Determine the first member and differentiate the following sequence:

a3-a5=24
a4-2a5=61

Final Answer:

a =  -1
d =  -12

Step-by-step explanation:

an​ = a1​+(n−1)d  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:Row1↔Row2  d=2−24​=−12 a=−61−5d=−61−5⋅ (−12)=−1  a=−1 d=−12

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