# 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)

Hint – To find the eighth term, we identify the given sequence as a Fibonacci series. Using its condition we find the ${8^{{\text{th}}}}$ term.

Here the given sequence,
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.

As,
2 = 1+1
3 = 1+2
5 = 2+3
8 = 3+5

Therefore, next (${7^{{\text{th}}}}$) term = Sum of the previous two terms = 5 + 8 = 13

Hence, ${8^{{\text{th}}}}$ term = 8 + 13 = 21.

Option D is the correct answer.

Note: The key in solving such kind of problems is to identify the kind of sequence given in this case is a Fibonacci Series and to know its definition.
Fibonacci Series typically starts from 0 or 1.

## FAQs

### What is the 8 term in Fibonacci sequence? ›

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

What is the 8th term in the sequence 1 1 2 3 5 8? ›

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.

What is the sequence 1 2 3 5 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…

What is the sequence 1 1 2 3 5 8? ›

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.

What is the 10th term of Fibonacci sequence 0 1 1 2 3 5 and 8? ›

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.

What is the next number in the sequence 2 3 4 6 6 9 8? ›

Hence, the correct answer is 15.

What is the 7th term in this sequence 1 1 2 3 5 8? ›

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, ...

What is the missing term in a given pattern 1 1 2 3 5 8? ›

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.

What is the 9th term of the sequence 1 1 2 3 5 8? ›

{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.

What is the sequence 1 2 3 4 5 8 13 21 34? ›

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.

What type of sequence is 1 5 9 13 17 21? ›

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 an = dn+a0 (n=0,1,2,...).

What is the sequence 1 2 4 8 called? ›

It is a geometric sequence.

What do we call this sequence 1 2 1 4 1 6 1 8? ›

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.

What is the rule for the sequence 1 2 4 8? ›

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.

Is the sequence 1 2 3 5 8 a Fibonacci sequence? ›

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.

What is the 8th term in the sequence 1 4 9? ›

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

What is the sum of the first 8 Fibonacci numbers? ›

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.

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