1.已知在等差数列{An}中.有A7+A9=16.A4=1.则A12的值是?2.已知{An}成等差数列,求证{2An-3}也是等差数列.

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1.已知在等差数列{An}中.有A7+A9=16.A4=1.则A12的值是?2.已知{An}成等差数列,求证{2An-3}也是等差数列.
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1.已知在等差数列{An}中.有A7+A9=16.A4=1.则A12的值是?2.已知{An}成等差数列,求证{2An-3}也是等差数列.
1.已知在等差数列{An}中.有A7+A9=16.A4=1.则A12的值是?
2.已知{An}成等差数列,求证{2An-3}也是等差数列.

1.已知在等差数列{An}中.有A7+A9=16.A4=1.则A12的值是?2.已知{An}成等差数列,求证{2An-3}也是等差数列.
1.
A12 + A4 = A7 + A9
A12 = 15
2.
设 An = a1 + (n-1)*d 是等差数列
An - An-1 = d
(2An - 3) - (2An-1 - 3) = 2d
故{2An-3}也是等差数列

1.已知在等差数列{An}中.有A7+A9=16.A4=1.则:A12 + A4 = A7 + A9
A12 =A7 + A9 -A4=15
2.{An}成等差数列,
则An-A(n-1)=d(公差).
2An-3-2A(n-1)+3=2d为定值,
所以{2An-3}也是等差数列.