等差数列an,a1+a4+a7=9,a10=9,求S10

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等差数列an,a1+a4+a7=9,a10=9,求S10等差数列an,a1+a4+a7=9,a10=9,求S10等差数列an,a1+a4+a7=9,a10=9,求S10a1+a4+a7=a1+a1+3

等差数列an,a1+a4+a7=9,a10=9,求S10
等差数列an,a1+a4+a7=9,a10=9,求S10

等差数列an,a1+a4+a7=9,a10=9,求S10
a1+a4+a7
=a1+a1+3d+a1+6d
=3a1+9d
=9
a10=a1+9d=9

a1=0
d=1
S10=(a1+a10)*10/2
=9*10/2
=45

a1 + a4 + a7 = 9
a1 + a1 + 3d + a1 + 6d = 9
3a1 + 9d = 9
a1 + 3d = 3
a10 = 9
a1 + 9d = 9
所以
a1 = 0
d = 1
S10 = (a1 + a10)×10÷2 = (0 + 9)×5 = 45