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What is the function whose domain is a set of consecutive integers there are finite and infinite?
sequence
What is the difference between a sequence and a series?
The sum of the terms in a sequence is called a series. Sequence is a function whose domain is the natural numbers. So f(1)= first entry in the sequence, and f(2) is the next.... f(n) is the nth term. We usually don't write sequences that way. Instead of f(1) we write, a1 to refer to the first term. The function tells us the rule we use to find the terms of the sequence. So for example, f says take n and square it. Then the first 3 terms of the sequence are 1, 4 and 9 and the first 3 terms of the series are 1, 5 and 14
What is the meaning of natural numbers or counting numbers?
natural number means whose straiting from 1, 2, ................................. and counting numbers starting from 0,1, 2, ..........................................
What are the numbers whose sum is 3 form an arithmetic sequence and their squares form geometric sequence?
The numbers are: 1-sqrt(2), 1 and 1+sqrt(2) or approximately -0.414214, 1 and 2.414214
What are four consecutive natural numbers that equal 214?
The four consecutive natural numbers whose sum is 214 are 52, 53, 54 and 55.
