What is the next number in this sequence; 2, 3, 5, 7, 11, 13, 17? This is a sequence of prime numbers, meaning that each term in the sequence has only two factors: 1 and itself. The next five numbers would be 19, 23, 29, 31, and 37.

Answer: The next number in the sequence 2, 3, 5, 7, 11, 13, 17, is 19.

Answer. Answer: 12, 17, 23, 30.

The number that comes next in the series 2, 3, 5, 7, 11, 13 would be 17. This is because this is a list of prime numbers.

The list of numbers written in a definite order is called a sequence. The sum of terms of an infinite sequence is called an infinite series. A sequence can be defined as a function whose domain is the set of Natural numbers. Therefore sequence is an ordered list of numbers and series is the sum of a list of numbers.

If you divide and find that the ratio between each number in the sequence is not the same, then there is no common ratio, and the sequence is not geometric.

more The amount we multiply by each time in a geometric sequence. Example: 1, 2, 4, 8, 16, 32, 64, 128, 256, Each number is 2 times the number before it, so the Common Ratio is 2.

Answer: The common ratio is 15/3=5 or 75/15 =5.

7

Therefore, common ratio = 7 is the answer.

Answer: The correct statements are, The 4th term of the sequence is 9, The domain of the sequence is all natural numbers, and (4,9) lies on the graph. Step-by-step explanation: Since, the given sequence, –3, 5, –7, 9, –11, ….. So, we can say that the above sequence has infinite number of terms.

A geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio, r. an=an−1⋅roran=a1⋅rn−1. Example. Write the first five terms of a geometric sequence in which a1=2 and r=3.

So if the sequence of differences continues in similar fashion, we would probably expect it to continue: 2,2,3,3,4,4,5,5,6,6,7,… In which case our given sequence would continue: 1,3,5,8,11,15,19,24,29,35,41,48,…

Movement can be described as the change in the place of an object or animals, without the ability to move there is not a possibility of life on earth. Movement is essential for many animals that help them to find food, shelter, and mate for the reproduction and produce offspring by mating.

an = a1 rn – 1 This is the formula that will be used when we find the general (or nth) term of a geometric sequence.

The formula for the sum of an infinite geometric series is S∞ = a1 / (1-r ).