The ${8^{{\text{th}}}}$ term of the sequence 1, 1, 2, 3, 5, 8 …….is$  {\text{A}}{\text{. 25}} \\  {\text{B}}{\text{. 24}} \\  {\text{C}}{\text{. 23}} \\  {\text{D}}{\text{. 21}} \\ $ (2023)

FAQs

What is the 8 term in Fibonacci sequence? ›

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.

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 series of numbers where a number is the addition of the last two numbers, starting with 0, and 1. The Fibonacci Sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55…

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.

Answer: The 10th term is 34. Step-by-step explanation: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377 and so on.

Hence, the correct answer is 15.

Here is a longer list: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,144,233,377,610,987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, ...

1, 1, 2, 3, 5, 8, 13, 21, ... Summary: The next Fibonacci number in the following sequence 1, 1, 2, 3, 5, 8, 13, 21, … is 34.

{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.

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.

What is the next term in the Fibonacci sequence 1 1 2 3 5 8 13 21 34 55 89? ›

The list of first 20 terms in the Fibonacci Sequence is: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181.

1, 5, 9, 13, 17, 21, 25, 29, . . ., 4n+1, . . . In general, the terms of an arithmetic sequence with the first term a₀ and common difference d, have the form a_n = dn+a₀ (n=0,1,2,...).

It is a geometric sequence.

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 12 gives the next term. In other words, an=a1rn−1 a n = a 1 r n - 1 . This is the form of a geometric sequence.

1, 2, 4, 8, 16, 32, 64, 128, 256, ... This sequence has a factor of 2 between each number. Each term (except the first term) is found by multiplying the previous term by 2.

What is the Fibonacci sequence? 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.

Each term of the progression is the square of a natural number. Hence, the eighth term of the sequence will be (8)2 = 64 .

The list of Fibonacci numbers is given as 0, 1, 1, 2, 3, 5, 8, 13, 21, 34. On summation of numbers in the sequence, we get, Sum = 0 + 1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 = 88.