math
posted by o .
use mathematical induction to prove 1/2^n = 1/2^n  1

Must be a typo, since if n=3,
1/2^3 = 1/8
1/2^3  1 = 7/8
Respond to this Question
Similar Questions

math
*if it is in parentheses, it is subscripted. the sequence {a(n)} is defined recursively by a(1) = 1, a(2) = 1 and for all n>= 1, a(n+2) = a(n+1) + a(n). use the principle of mathematical induction to prove that a(1) + a(2) + a(3) … 
Discrete Math
Use mathematical induction to prove the truth of each of the following assertions for all n ≥1. 5^2n – 2^5n is divisible by 7 If n = 1, then 5^2(1)  2^5(1) = 7, which is divisible by 7. For the inductive case, assume k ≥ … 
math
Prove by mathematical induction that : E (3r5)= 3n^27n /2 r=1 
Math  Mathematical Induction
3. Prove by induction that∑_(r=1)^n▒〖r(r+4)=1/6 n(n+1)(2n+13)〗. 5. It is given that u_1=1 and u_(n+1)=3u_n+2n2 where n is a positive integer. Prove, by induction, that u_n=3^n/2n+1/2. 14. The rth term of … 
AP Calc
Use mathematical induction to prove that the statement holds for all positive integers. Also, can you label the basis, hypothesis, and induction step in each problem. Thanks 1. 2+4+6+...+2n=n^2+n 2. 8+10+12+...+(2n+6)=n^2+7n 
Calculus
Use mathematical induction to prove that the statement holds for all positive integers. Also, label the basis, hypothesis, and induction step. 1 + 5 + 9 + … + (4n 3)= n(2n1) 
Math
Use mathematical induction to prove that 2^(3n)  3^n is divisible by 5 for all positive integers. ThankS! 
Mathematical Induction
I have been given that a1 = 1 and an+1 = 1/3*(an + 4). In order to prove that this sequence is monotonous, what is the second step of mathematical induction? 
math
Use mathematical induction to prove that for all integers n ≥ 5, 1 + 4n < 2n 
Mathematical Induction
Use mathematical induction to prove that the following is true. 8+11+14...+(3n+5)=1/2n(3n+13), for all n in the set of natural numbers.