Identify the Sequence 3 , 5 , 7 , 9 (2024)

FAQs

What is the sequence of 3, 5, 7, 9? ›

The terms in the sequence are said to increase by a common difference, d. For example: 3, 5, 7, 9, 11, is an arithmetic progression where d = 2. The nth term of this sequence is 2n + 1 . In general, the nth term of an arithmetic progression, with first term a and common difference d, is: a + (n - 1)d .

Answer: 3, 5, 7, 9, 11, 13, 15 is an arithmetic progression. Here the common difference between two consecutive terms is 2. A sequence in which the difference between any two consecutive terms is a constant is called as arithmetic progression.

The rule of this sequence is adding 2 from the previous number to the current number. Suppose that you have an arithmetic sequence whose first term is 3 and whose common difference is 2, that is, ( a sub 1 ) = 3 and for every positive integer n, ( a sub ( n + 1 ) ) = 2 + ( a sub n ).

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.

The series 1,3,5,7,9 and 11 is an arithmetic progression series with common difference=d=2 as 5–3=2…

Where S is the sum of the sequence, n is the number of terms in the sequence, a is the first term, and l is the last term. Therefore, the sum of the sequence 1+3+5+7+… +99 is 2500.

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 2 to the previous term in the sequence gives the next term.

The general term for the sequence 1, 3, 5, 7, 9, . . . is 2n - 1.

The answer is 5. Divide the above numbers into the following 4 groups: {1, 15}, {3, 13}, {5, 11}, {7, 9}. If we choose 5 numbers out of 4 groups, then by Dirichlet's principle we'll have at least 2 numbers in the same group, and their sum will be equal to 16.

To find the nth term of a sequence use the formula a_n=a₁+(n−1)d. Here's how to understand this nth term formula. To find the nth term, first calculate the common difference, d . Next multiply each term number of the sequence (n = 1, 2, 3, …) by the common difference.

What is the constant difference between the consecutive terms 3 5 7 9? ›

In an arithmetic sequence, the difference between consecutive terms is always the same. For example, the sequence 3, 5, 7, 9 ... is arithmetic because the difference between consecutive terms is always two.

The sequence is: 5, 7, 9, 11, 13, 15, . . . The general term rule is: t(n) = (2n + 3).

The series will be, 1,3,5,7,9,11,13,15,17,19,21.

Hence, the sequence is in arithmetic progression as the common difference between the terms in the series is 2. Arithmetic progression is defined as the sequence of numbers that differs by a constant number from the preceding term.

5,7,9,11,13,15,17,19...

Hence, the sum of the arithmetic sequence 3, 5, 7, 9, ..., 21 is 120.

Arithmetic Sequence

1, 3, 5, 7, 9, 11, 13, ...