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.

Step-by-step answer:

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 a_{0} and common difference d, have the form a_{n} = dn+a_{0} (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**.