Tag: numbers and sequences

Quizzes (5) Questions (27)

Questions Related to numbers and sequences

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,
$1,1,2,3,5,8$----------