2,7,8 ; 3, 12 ,9. Thus, the next sequence must also be a sequence of 3 numbers. Therefore following the sequence, we must get the third group-of-three which is (4,17,10). This means that the next number in the sequence 2,7,8,3,12,9 is 4.
So the answer is d = 15.
The sequence follows the rule that each number is equal to the sum of the preceding two numbers. 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.
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.
2, 3, 5, 8, 12, 17, 23, ____. Therefore, the next number of the given sequence is 30.
The primes up to 50 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47.
{2,3,5,8,12,17,23,...} is not an arithmetic sequence. The difference a2−a1 is 1 , but the next difference a3−a2 is 2 . an=dn+c can be written for this sequence.
Therefore, the next number will be 15. Hence, the correct answer is 15.
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 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.
The Fibonacci sequence is a type series where each number is the sum of the two that precede it. It starts from 0 and 1 usually. The Fibonacci sequence is given by 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, and so on. The numbers in the Fibonacci sequence are also called Fibonacci numbers.
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.
6. What is multiplication of the sequence 1, 2, 3, 4,… by the sequence 1, 3, 5, 7, 11,….? Explanation: The first constant term is 1⋅1, next term will be 1⋅3 + 2⋅1 = 5, the next term: 1⋅5 + 2⋅3 + 3⋅1 = 14, another one: 1⋅7 + 2⋅5 + 3⋅3 + 4⋅1 = 30.
Answer and Explanation:
On the sequence 2,7,8,3,12,9, observe that the pattern goes by groups of three. 2,7,8 ; 3, 12 ,9. Thus, the next sequence must also be a sequence of 3 numbers. Therefore following the sequence, we must get the third group-of-three which is (4,17,10).
So, missing term = 55.
Answer and Explanation:
The given sequence is a Fibonacci sequence. Thus, the next term to is 29 + 18 = 47 .
Thus, the sequence of even numbers 2, 4, 6, 8, 10, ... is an arithmetic sequence in which the common difference is d = 2. It is easy to see that the formula for the nth term of an arithmetic sequence is an = a +(n −1)d.
Summary: The next Fibonacci number in the following sequence 1, 1, 2, 3, 5, 8, 13, 21, … is 34.
Answer: The number 4 does not belong to this series 1, 1, 2, 3, 4, 5, 8, 13, 21. Let us understand the rule of the series. Explanation: The given series is a Fibonacci Sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...
Answer: The number that fits best in the sequence 1, 2, 4, 7, 11, …, 22 is 16.
Given sequence: 1, 3, 3, 6, 7, 9, __, 12, 21. Hence, the correct answer is "13".
The missing number is 88−2=86.
Solution: Given, sequence 1, 1, 2, 4, 3, 9, 4, …… Hence, the next number is 55.
Arithmetic sequences
-17,-12,-7,-2,3,8,13,18...
This is an arithmetic sequence since there is a common difference between each term.