Tag: introduction to sequences and series

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

When each term of a sequence is connected using $a +$ or $a -$ sign, then it is referred to as the _____ of numbers.

  1. Series

  2. Progression

  3. Arithmetic Progression

  4. Geometric Prpgression
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

When each term of a sequence is connected using a $+$ or a $-$ sign, then it is referred to as the series of numbers. For example, $2 + 5 + 8 + 11 + 15 + 18 + ....$ is a series of numbers. Thus the correct answer is '$a$'.

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

In following symbol series, some of the symbols are missing which are given in that order as one of the alternatives below it. Choose the correct alternative.

$\text{x+ _ xx _+++ _ xxx _ +++x}$

  1. $\text{x++x}$
  2. $\text{+xx+}$
  3. $\text{xxx+}$
  4. $\text{x+x+}$
  5. $\text{x+xx}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The series is $\text{x++/xxx+++/ xxxx++++/x}$. Thus, the letters are repeated twice, thrice and so on.

Hence, the missing symbols are +xx+

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

Which one of the following is a series?

  1. $1 \times 2 \times 3 \times 4 \times 5$
  2. $(0, 1, 2, 3, 4)$
  3. $\left \{1, 2, 3, 5, 6\right \}$
  4. $\sum _{n=1}^{10}nk^2$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

$\sum _{n=1}^{10}nk^2$ is a series.
Since $\sum _{n=1}^{10}nk^2= k^2+2k^2+3k^2+4k^2+5k^2+6k^2+7k^2+8k^2+9k^2+10k^2$
So, sum of all the terms in a sequence is called series.