Question

Select the number that can replace
the question mark (?) in the following
series :
24, 25, 29, 56, ?​

Answer 1

Answer:

24+ (1)^0=24+1=25

25+ (2)^2=25+4=29

29+(3)^3=29+27=56

56+(4)^4=56+256=312

hence that series is,

24,25,29,56,312,...

Answer 2

24, 25, 29, 56, 312.

• 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 generalisation, 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 utilised 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, we are given that,

The first term is 24.

Now, adding 1 to 24, we get 25.

Again, adding 4 to 25 we get the third term that is 29.

Similarly, adding 27 to the third term that is 29, we get 56.

Now,

$1^{0} =1\\2^{2}=4 \\3^{3} = 27.$

Then, $4^{4} = 256.$

Adding 256 to the fourth term we get,

$56+256 = 312.$

Hence, the number to replace the question mark is 312.

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