Identify the Sequence 1 , 2 , 3 , 4 , 5 (2023)

FAQs

What is the sequence of 1 2 3 4 5? ›

The given sequence is 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. They are the first ten natural numbers. The common difference between the terms is 1. So, the next term is obtained by adding 1 to the previous number.

The Fibonacci sequence begins with the following 14 integers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 ... Each number, starting with the third, adheres to the prescribed formula. For example, the seventh number, 8, is preceded by 3 and 5, which add up to 8.

It is also called Arithmetic Sequence. For example, the series of natural numbers: 1, 2, 3, 4, 5, 6,… is an Arithmetic Progression, which has a common difference between two successive terms (say 1 and 2) equal to 1 (2 -1).

The Fibonacci sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34... In this series, the next number is found by adding the two numbers before it. Hence, the next term in the series is 8 + 13 = 21. Q.

Now note the natural numbers, which are from 1-to 100. According to arithmetic progression, natural numbers can be written down as 1, 2, 3, 4, 5, 6, 7, and 8 to 100. Basically, the sum of the first 100 natural numbers is equal to 5050.

Answer: -6 is the no. of last term of sequence.

The Fibonacci sequence is the series of numbers where each number is the sum of the two preceding numbers. For example, 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, …

{1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987.....} It is apparent that neither the series is arithmetic nor geometric.

1, 1, 2, 3, 5, 8, 13, 21, ... Solution: The Fibonacci series is the series of numbers 1, 1, 2, 3, 5, 8, 13, 21, ... Therefore, the next Fibonacci number in the following sequence is 34.

Numbers of this form are called triangular numbers, because they can be arranged as an equilateral triangle. The infinite sequence of triangular numbers diverges to +∞, so by definition, the infinite series 1 + 2 + 3 + 4 + ⋯ also diverges to +∞.

What is the next number in the sequence 1 1 2 4 3 9 4? ›

Solution: Given, sequence 1, 1, 2, 4, 3, 9, 4, …… Hence, the next number is 55.

And because an−an−1=d, the constant d is called the common differenceThe constant d that is obtained from subtracting any two successive terms of an arithmetic sequence; an−an−1=d.. For example, the sequence of positive odd integers is an arithmetic sequence, 1,3,5,7,9,…

Fibonacci Numbers (Sequence):

1,1,2,3,5,8,13,21,34,55,89,144,233,377,... Fn=Fn−2+Fn−1 where n≥2 . Each term of the sequence , after the first two, is the sum of the two previous terms. This sequence of numbers was first created by Leonardo Fibonacci in 1202 .

The 11th term will be 89. The eleventh term of the sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, …... It is a fibonacci sequence in which previous terms is added to get next term. The eleventh term of the sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, …...

1, 1, 2, 3, 5, 8 is a Fibonacci sequence. Fibonacci sequence is a series of numbers in which each number (Fibonacci number) is the sum of the two preceding numbers. Hence, ${8^{{\text{th}}}}$ term = 8 + 13 = 21.

The Fibonacci sequence is a famous group of numbers beginning with 0 and 1 in which each number is the sum of the two before it. It begins 0, 1, 1, 2, 3, 5, 8, 13, 21 and continues infinitely.

Answer. It's seems to be an AP where common difference is 1/4. So, add 1/4 with the last given term and you will get the next term. The answer is 5/4.

For the given sequence the general term could be defined as n/(n + 1), where 'n' is clearly a natural number. So starting with the number 1/2 (with starting n = 1) the sequence goes on as follows : 1/2, 2/3, 3/4, 4/5, 5/6, 6/7…. So the very next number to 4/5 is 5/6.

It is a harmonic sequence - the reciprocals of successive terms being in arithmetic progression.