This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Series”.

1. The sequence is same as series.

a) True

b) False

View Answer

Explanation: No, sequence and series both are not same. When we use addition between the terms of sequence, it is said to be series.

2. A series can also be denoted by symbol ____________

a) π a_{n}

b) ∑a_{n}

c) Φ a_{n}

d) θ a_{n}

View Answer

Explanation: When we use addition between the terms of sequence, it is said to be series.

We know that addition can also be written in the form of sigma so, series can also be denoted by ∑a

_{n}.

3. 1+2+3+4 or 10 is a series?

a) 1+2+3+4 only

b) 10 only

c) 1+2+3+4 and 10

d) neither 1+2+3+4 nor 10

View Answer

Explanation: 1+2+3+4 is a finite series of 4 terms.

10 is sum of the terms of this series not a series itself.

4. Find sum of series 2+3+5+7.

a) 5

b) 10

c) 17

d) infinite

View Answer

Explanation: Sum of the series 2+3+5+7 is finite because given series has finite number of terms. The sum of given 4 terms i.e. 17.

5. Find the sum of first 5 terms of series 2+4+6+………………

a) 14

b) 16

c) 20

d) 30

View Answer

Explanation: Since 2, 4 and 6 all are even numbers so, given series involve all even number terms.

The next two terms will be 8 and 10 so, sum will be 2+4+6+8+10 = 30.

6. \(\sum_{i=1}^4\) 2n+3 = _____________________

a) 5

b) 12

c) 21

d) 32

View Answer

Explanation: a

_{1}= 2*1+3 = 5, a

_{2}= 2*2+3 = 7, a

_{3}= 2*3+3 = 9, a

_{4}= 2*4+3 = 11.

Sum = 5+7+9+11 = 32.

7. Which of the following is not a series?

a) Arithmetic series

b) Geometric series

c) Isometric series

d) Harmonic series

View Answer

Explanation: The isometric series is not a series. Rest all are series i.e. arithmetic series, geometric series and harmonic series.

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