Cho dãy số với số hạng đầu tiên là 6, các số hạng đứng liền sau được xác định như sau: nếu một số hạng có giá trị t là số chẵn, thì số hạng tiếp theo có giá trị là ½ t; nếu một số hạng có giá trị s là số lẻ thì số hạng tiếp theo có giá trị là 3s + 1. Vì thế, 4 số hạng đầu tiên của dãy số là: 6, 3, 10, 5. Tìm số hạng thứ 100 của dãy số. Given the sequence with the first term is 6, the following consecutive terms are defined as follows: if a term with a value of t is even, then the next term has a value of ½ t; If a term with a value of s is odd, the next term has a value of 3s + 1. Therefore, the first 4 terms of the sequence are: 6, 3, 10, 5. Find the 100th term of the sequence.
(A) 1 (B) 2 (C) 3 (D) 4 (E) 5
Ai nhanh nhất mình tick một cái
Let S be the sum of 100 terms:
\(S=\frac{1}{1.1.3}+\frac{1}{2.3.5}+\frac{1}{3.5.7}+\frac{1}{4.7.9}+...+\frac{1}{100.199.201}\)
Compare S with \(\frac{2}{3}\).
P/S: Cần 1 thánh giải giúp
Find the value of
\(\frac{1}{2}+\frac{1}{2.2}+\frac{1}{2.2.2}+...+\frac{1}{2.2.2.2.2.2.2.2.2.2}\)
In a number sequence : 1 , 1 , 2, 3 , 5 , 8 , 13 , 21 , ... , starting from the third number , each number is the sum of the two numbers that come just before it . How many even numbers are there among the first 1000 numbers in the number sequence ?
all positive integers appear in the sequence 1,2,2,3,3,3,4,4,4,4,..,and each positive integer k appears i the sequence k time . in the sequence, each term after the first is greater than or equal of the term before it. if the intrger 12 first is appears in the sequence as the nth term ,what is the value of n ?
A)62 B)66 C) 65 D)67 E)64
Let a,b,c,d,e are integers satisfying the following expression:
\(\frac{501}{2015}\)=\(\frac{1}{a+\frac{1}{b+\frac{1}{c+\frac{1}{d+\frac{1}{e}}}}}\)
Find the value of a+b+c+d+e
Toán tiếng anh,giải giúp mik
Dịch sang tiếng việt rồi giải
1. fraction\(\frac{6}{35}\)can be written as the product of two fractions of which the numerator and the denominator are one-digit postitve intergers
For instance: \(\frac{6}{35}=\frac{2}{3}.\frac{5}{7}\)
Look for different writtings.
2. Puzzle: there are a pairs of fractions that when we multiply or add them together, we recive the same results
For instance: the pair of fractions \(\frac{7}{3}\)and\(\frac{7}{4}\)has:
\(\frac{7}{3}.\frac{7}{4}=\frac{7.7}{3.4}=\frac{49}{12}\)
\(\frac{7}{3}+\frac{7}{4}=\frac{7.4+7.3}{12}=\frac{49}{12}\)
We ask you a riddle to find another pair of fractions having that property
Question 2:
The number of factors of 120 is
Question 5:
Find four integer numbers a,b,c,d such that
a + b + c + d = 1
a + c + d = 2
a + b + d = 3
a + b + c = 4
Answer: (a;b;c;d)=()
Question 6:
The 215th term of the expression A=1-7+13-19+25-31+⋯ is
Question 7:
A natural number will be increased by 9 times ifthe digit 0 is written between tens digit and units digit.The number is
Question 8:
Calculate: 1×2+2×3+⋯+100×101=
Question 9:
The root of the equation (x+1)+(x+2)+(x+3)+⋯+(x+100)=5750 is x=
Question 10:
The sum of digits of 31000 is A,the sum of digits of A is B,and the sum of digits of B is C.The value of C is
What is the difference between the sum of the first 100 positive even numbers and the sum of the first 100 positive odd numbers ?