The general term formula of known sequence {an} is an = log2 (n + 1 / N + 2) (n ∈ n *). Let the sum of the first n terms be Sn, then SN

The general term formula of known sequence {an} is an = log2 (n + 1 / N + 2) (n ∈ n *). Let the sum of the first n terms be Sn, then SN

a1=log2 2/3 a2=log2 3/4.
a1+a2+...an=log2 (2/3)(3/4)(4/5)...(n+1/n+2)
=log2 2/(n+2)=Sn
sn

If the sum SN of the first n terms of the sequence {an} satisfies log2 (Sn + 1) = n, then an=______ ．

From log2 (Sn + 1) = n, we get Sn + 1 = 2n, ∧ Sn = 2N-1, ∧ A1 = S1 = 2-1 = 1, an = sn-sn-1 = (2n-1) - (2n-1-1) = 2n-2n-1 = 2N-1; ∧ an = 2n-1.2n-1; an = 2N-1;

If the sequence {an] satisfies A1 = 2, an + 1 = 1 + an1 an (n ∈ n *), then A2012=______ ．

Let f (n + 1) = 1 + F (n (n + 1) 1 + F (n) 1 (f (n + 1) = 1 + F (n) 1 (n) 1 + F (n + 1) 1-f (n (n) (n = n (n + 1 + 1 + 1) 1-f (n (n) (n = n (n + 1 + 1) + 1 (n) (n + 1 = 1 + 1 + 1 = 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1-1-an1-an, and let f (n + 4) = 1F (n (n + 4) f (n (n + 4) = 1F (n (n + 4) (n + 4) (n + 4) = 1F (n (n + 2) (n + 2) (n + 2) = 1-12-12-12-12-12-12-12-12-12-12, such as A2012 = A2 therefore, A4 = 1-121 + 12 = 13, so A2012 = 13

A prime number has only () factors, and a composite number has at least () factors. All natural numbers can be divided into () numbers, (), and () numbers according to the number of factors
() and ()

A prime number has only (2) factors, and a composite number has at least (3) factors. All natural numbers can be divided into (prime number), (composite number) (1) according to the number of factors

Natural number can be divided into prime number, composite number and 1______ ．

According to the analysis, natural number can be divided into prime number, composite number and 1 according to the number of factors

Is it right or wrong to divide natural numbers into prime numbers and composite numbers according to the number of factors?

Wrong

A number with a factor of 2 must be a composite number, right? A natural number greater than 0 is either a prime number or a composite number

A number with a factor of 2 must be a composite number. A natural number greater than 0 is either a prime number or a composite number

1. Prime numbers may be odd or even. 2. Any natural number has two factors
3. The difference or sum of two odd numbers must be an even number. () 4. The sum of two composite numbers must be a composite number. () 5, 0.5 * 7 = 3.5, so 3.5 is a multiple of 0.5. () 6. Each composite number can be obtained by multiplying several prime numbers. () 7. Parallelogram is an axisymmetric figure. () 8, If there is only one 4 in all the factors of the number a, then the number a is even

1. Prime numbers can be either odd or even
2. Any natural number has two factors
3. The difference or sum of two odd numbers must be even
4. The sum of two composite numbers must be composite
5. 0.5 * 7 = 3.5, so 3.5 is a multiple of 0.5
6. Every composite number can be obtained by multiplying several prime numbers
7. A parallelogram is an axisymmetric figure
8. Arrange the numbers 1, 3, 6 and 2 randomly to form four digits, which are all multiples of 3
9. If there is only one 4 in all the factors of a, then a is even
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Does 0 have a factor? Can natural number be divided into (prime number, composite number, 1 and 0) according to the number of factors

No. right

Please prove that the prime number is infinite

Suppose the largest prime is X
be
2*3*5*7.*X +1
Divide by all prime numbers to make 1
Then 2 * 3 * 5 * 7. * x + 1 is prime or has a greater prime factor than x
This contradicts the assumption that x is the largest prime
So there is no maximum prime
So the number of primes is infinite