(1)若数列{an}满足:a1=1,an+1=2an+1(n属于正整数),则该数列的通项公式an=?(2)在等差数列{an}中,an=2n-49,使该数列的前n项之和用Sn取得最小值时n的值为多少?
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(1)若数列{an}满足:a1=1,an+1=2an+1(n属于正整数),则该数列的通项公式an=?(2)在等差数列{an}中,an=2n-49,使该数列的前n项之和用Sn取得最小值时n的值为多少?(
(1)若数列{an}满足:a1=1,an+1=2an+1(n属于正整数),则该数列的通项公式an=?(2)在等差数列{an}中,an=2n-49,使该数列的前n项之和用Sn取得最小值时n的值为多少?
(1)若数列{an}满足:a1=1,an+1=2an+1(n属于正整数),则该数列的通项公式an=?
(2)在等差数列{an}中,an=2n-49,使该数列的前n项之和用Sn取得最小值时n的值为多少?
(1)若数列{an}满足:a1=1,an+1=2an+1(n属于正整数),则该数列的通项公式an=?(2)在等差数列{an}中,an=2n-49,使该数列的前n项之和用Sn取得最小值时n的值为多少?
(1)∵an+1=2an+1 ∴an+1+1=2(an+1) ∴数列{an+1}是等比数列
∴an+1=(a1+1)×2^(n-1)=2^n ∴an=2^n -1
(2) 设am≤0 am+1≥0 ∴2m-49≤0 2(m+1)-49≥0 ∴47/2≤m≤49/2
∵m∈N ∴m=24
∴前n项之和Sn取得最小值时n的值为24
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