Tag: introduction to series

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Multiple choice maths numbers and sequences series introduction to series introduction to sequences and series

Which one of the following is not a series?

  1. adding first $n$ natural numbers
  2. multiplying first $10$ odd numbers
  3. adding first $20$ even numbers
  4. adding last $20$ natural numbers
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A series is the sum of some set of terms of a sequence.
So, multiplying first $10$ odd numbers is not a series.

As it will be equal to $1\times 3\times 5\times 7\times 9....$

Multiple choice maths numbers and sequences series introduction to series introduction to sequences and series

Which of the following is not an example of a series?

  1. $1,2,3,4,5,6,...$
  2. $-2,0,2,4,6,8,...$
  3. $1,1,2,3,5,8,..$

  4. None of the above
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$(A)$ $1,2,3,4,5,6,....$

This is a arithmetic series with common difference $d=1$

$(B)$ $-2,0,2,4,6,8,...$
This is a arithmetic series with common difference $d=2$

$(C)$ $1,1,2,3,5,8,...$
This is a Fibonacci series in which successive terms is determined by sum of 2 preceding terms.
$a _n=a _{n-1}+a _{n-2}$

Ans: None of the above

Multiple choice maths numbers and sequences series introduction to series introduction to sequences and series

A fibonacci series is:

  1. series of numbers in which each number (Fibonacci number) is the sum of the two preceding numbers.
  2. the simplest is the series $1, 1, 2, 3, 5, 8,$ etc.

  3. Both are correct

  4. None is correct
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation
Sol: A Fibonacci series of numbers is in which each number is the sum of the two preceding numbers examples,
$1,1,2,3,5,8$----------