16 11 8.5 7.25 (2024)

FAQs

What is the missing number in the sequence? ›

Missing numbers are the numbers that have been skipped out from a particular sequence or series that shows identical variations. We can find such missing numbers by considering the pattern followed by the numbers in the given sequence or series.

If we observe each of the numbers then we can say that every number has only two factors, 1 and the number itself. We know that, if a number is divisible by itself and 1 only then it is called as a prime number. So in the above pattern all numbers are prime numbers.

Solution: The missing number is found to be 13.

In the given AP series find the number of terms? 5, 8, 11, 14, 17, 20......... 50. Explanation: n^th term = first_term + (number_of_terms – 1)common_differnce., 50 = 5 + (n-1)3, n=16.

16 - 11 - 13 - 8 - 10 - 5 - 7 - Summary: The next number in the following series 16 - 11 - 13 - 8 - 10 - 5 - 7 - is “2”.

Missing numbers are the numbers that have been missed in the given series of a number with similar differences among them. The method of writing the missing numbers is stated as finding similar changes between those numbers and filling the missing terms in the specific series and places.

A prime number is a number that can only be divided by itself and 1 without remainders. What are the prime numbers from 1 to 100? The prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

Solution: First 10 prime numbers = 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. As we know, Mean = Sum of all values / Total number of values. Mean = 129 / 10. Mean = 12.9.

The next number in the sequence 2, 5, 8, 11, 14, 17 is 20. This is an arithmetic progression, where each term is obtained by adding a fixed value to the previous term.

Consider the sequence of numbers2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, ..

What is the missing numbers in the sequence 6 11 9 14 17? ›

Again the number after 9 should be 9 + 5 = 14, and the next number after 14 should be 14 - 2 = 12 and so on. So the series should be - 6, 11(6+5), 9(11–2), 14(9+5), 12(14–2), 17(12+5), 15(17–2), 20(15+5), 18(20–2),…. The missing numbers are 12 and 15.

∴ Missing number =23+6=29.

The numbers 8, 11, 14, 17, 20 form an arithmetic progression sequence with first term of 8, and a common difference of 3. The nth term of an arithmetic progression sequence is given by the formula: nth term, t(n) = first term + (n-1) * common difference.

The next number in the list of numbers 2, 5, 8, 11, 14, . . . is 17. Notice that the difference between each consecutive term in this sequence is 3. Therefore, this is an arithmetic sequence with a common difference of 3. Thus, to find the next number in the sequence, we simply add 3 to 14.

For an arithmetic sequence 2, 5, 8, 11, .... the first term is a = 2, and the common difference is d = 5 - 2 = 3. The arithmetic sequence explicit formula for this series is a_n = a + (n - 1)d, or a_n = 2 + (n - 1)3 or a_n = 3n - 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.

Here starting from the third number 1 × 2 = 2 2 × 2 = 4 2 × 4 = 8 4 × 8 = 32 So the answer is 8 × 32 = 256.

Step-by-step explanation:

Pattern 2: The numbers increase by 4 each time (10, 14, 18, 22, ...). Following this pattern, the sequence would continue as: 2, 5, 10, 14, 18, 23, 26, 32, 36, ... Therefore, the missing number in the sequence is 36.

Expert-Verified Answer

Explanation: The given sequence is 2/3, 3/4, 4/5, 5/6. The nth term rule for this sequence is n/(n+1), where n represents the position of the term in the sequence. This rule can be derived by observing that the numerator of each term is equal to n, and the denominator is equal to n+1.