Question

6,7,15,42 find the next correct number

Answer 1

The fifth term is 58.

• A series in mathematics is essentially a description of the process of successively adding an infinite number of quantities to a specified initial quantity. A significant component of calculus and its generalization, mathematical analysis, is the study of series.
• Most branches of mathematics use series, including combinatorics, where generating functions are used to explore finite structures. In addition to being widely utilized in mathematics, infinite series are also used extensively in physics, computer science, statistics, and finance, among other quantitative fields.

Here, according to the given information, the series is given as,

6,7,15,42, ?

Now, let us consider the first and the second term and find the difference between the two.

We get, 7 - 6 = 1, which is a cube of 1.

Now, proceeding in a similar manner, finding out the difference between the third and the second term, we get,

15 - 7 = 8, which is a cube of 2.

Now, proceeding in a similar manner, finding out the difference between the fourth and the third term, we get,

42 - 15 = 27, which is a cube of 3.

Now, the fifth term must be such a number such that the difference between the fifth and the fourth term is a cube of 4, that is 16.

Then, we get, $x - 42 = 16$.

Or, x = 58.

Hence, the fifth term is 58.

Learn more here

brainly.in/question/66374

#SPJ3

Answer 2

Answer:

The series will be: 6,7,15,42,106

Step-by-step explanation:

• The differences between the numbers are 7-6=1, 15-7=8, and 42-15=27.
• 1, 8 and 27 are the cube of 1,2 and 3 respectively.
• So, the next number can be calculated by adding cube of 4 which is 64.
• The next number of the sequence will be 42+64 = 106.

To learn more about cube:

https://brainly.in/question/47408784

To learn more about sequence:

https://brainly.in/question/3296986

#SPJ3