The results show that all items of the proportional sequence {an} are positive and A4 * A7 + A5 * A6 = 16, log2a1 + log2a2 +... + log2a10 =?
a(n)=aq^(n-1),a>0,q>0.16 = a(4)*a(7)+a(5)*a(6)=a^2*q^9 + a^2*q^(9) = 2a^2q^9,a^2q^9 = 8.log_ {2}a(1)+log_ {2}a(2)+...+log_ {2}a(10)=log_ {2}[a(1)a(2)...a(10)]=log_ {2}[a^(10)q^(1+2+...+9)]=log_ {2}[a^(10)q^...
RELATED INFORMATIONS
- 1. It is known that if an is greater than 0, n = 1,2, and A5 is multiplied by 2n of a2n-5 = 2 (n is greater than or equal to 3) It is known that the equal ratio sequence {an} satisfies an > 0, n = 1,2 And a5-a2n-5 = 2 ^ 2n (n > = 3), and when n > = 1, log 2 a1+log 2 a3+… log 2 a2n-1= It is known that the sequence {an} satisfies an > 0, n = 1,2, and a (5) times a (2n-5) = 2 ^ 2n (n > = 3), log 2 a1+log 2 a3+… +log 2 a2n-1=
- 2. It is known that the equal ratio sequence {an} satisfies an > 0, n = 1, 2 When n ≥ 1, log2a1 + log2a3 + +log2a2n-1=( ) A. (n-1)2B. n2C. (n+1)2D. n2-1
- 3. In the equal ratio sequence, Sn = 1-1 / 2 to the nth power, then a 5 is equal to what
- 4. The power of Sn = 2 in the equal ratio sequence is n + K. then what is k equal to
- 5. If the first n terms of the equal ratio sequence and Sn = 2 (13) n + K, then the value of the constant k is______ .
- 6. If the first n terms of a sequence and the formula Sn = (the nth power of 3) + B (B is a constant), is the sequence an equal ratio sequence?
- 7. Find 1 + (2 / 3) + (2 / 3) quadratic + (2 / 3) cubic + +The value of (2 / 3) n power
- 8. Cubic power of √ 3 + (- 2 √ 3) square + (√ 48 - √ 1 / √ 2 * √ 6)
- 9. If the general term formula of sequence an is an = 2n-37, what is the value of n when the first n term and Sn are minimized
- 10. If the sequence {an} satisfies A1 = 2 and an + an-1 = 2n + 2N-1, Sn is the sum of the first n terms of the sequence {an}, then log2 (s2012 + 2) is equal to () A. 2013B. 2012C. 2011D. 2010
- 11. If an is an equal ratio sequence composed of positive numbers and A4 * A5 = 8, then log2a1 + log2a2 +... + log2a8=
- 12. It is known that the function f (x) = X3 + AX2 + BX + 4 is an increasing function on (- ∞, 0) and a decreasing function on (0, 1). (I) find the value of B; (II) when x ≥ 0, the curve y = f (x) is always above the straight line y = a2x-4, and find the value range of A
- 13. The monotone increasing interval of function y = | LG (x + 1) | is______ .
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- 15. How to find the definition field of logarithmic function Y = 1-log2 (4x-5) under the root sign
- 16. There are two numbers whose absolute value is equal to 1, right or wrong?
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- 18. Simple calculation of 15 / 0.25
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