Difference 7873

Find the first term and the difference of the sequence for which it holds: a1 + a6 = 39; a10 - a4 = 18

Correct answer:

a =  12
d =  3

Step-by-step explanation:


a+a+5d=39
a+9d - (a+3d) = 18

a+a+5·d=39
a+9·d - (a+3·d) = 18

2a+5d = 39
6d = 18


d = 18/6 = 3
a = 39-5d/2 = 39-5 · 3/2 = 12

a = 12
d = 3

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