What is the Next Number in the Series 4 10 16 22 28?

The next number in the series 4, 10, 16, 22, 28 is 34.

This is an arithmetic sequence, meaning there's a constant difference between consecutive terms. To find the next number, we identify this common difference.

• Finding the Common Difference: Subtracting any term from the following term reveals the constant difference. For example: 10 - 4 = 6; 16 - 10 = 6; 22 - 16 = 6; and 28 - 22 = 6. The common difference is 6.

• Calculating the Next Term: Adding the common difference (6) to the last term in the sequence (28) gives us the next number: 28 + 6 = 34.

Several online resources confirm this solution: Mathway (https://www.mathway.com/popular-problems/Algebra/706489), Byju's (https://byjus.com/question-answer/identify-the-pattern-and-fill-the-blank-4-10-16-22-28-363438/), and Brainly (https://brainly.ph/question/29848163) all independently arrive at the same answer. The common difference is explicitly stated in these resources, highlighting the arithmetic nature of the sequence.

The formula for the nth term of an arithmetic sequence is a_n = a₁ + (n-1)d, where a₁ is the first term and d is the common difference. In this case, a₁ = 4 and d = 6.