Sequences and Series ISC Class-11 Maths ML Aggarwal Solutions Chapter-10. Step by step Solutions of ML Aggarwal ISC Class-11 Mathematics with Exe-1, Exe-2, Exe-3 Exe-4, Exe-5, Exe-6, Exe-7, Exe-8, Exe-9, Exe-10 and Chapter Test Questions. Visit official Website CISCE for detail information about ISC Board Class-11 Mathematics.

## Sequences and Series ISC Class-11 Maths ML Aggarwal Solutions Chapter-10

Board | ISC |

Class | 11 |

Subject | Mathematics |

Chapter-10 | Sequences and Series |

Session | 2024-25 |

Topics | Solutions of ML Aggarwal |

### Sequences and Series

**Sequence: **A succession of numbers arranged in a definite order according to a given certain rule is called sequence. A sequence is either finite or infinite depending upon the number of terms in a sequence.

**Series: **If a_{1}, a_{2}, a_{3},…… a_{n} is a sequence, then the expression a_{1} + a_{2} + a_{3} + a_{4} + … + a_{n} is called series.

**Progression : **A sequence whose terms follow certain patterns are more often called progression

**Arithmetic Progression (AP)**

A sequence in which the difference of two consecutive terms is constant, is called Arithmetic progression (AP).

**Properties of Arithmetic Progression (AP): **If a sequence is an A.P. then its nth term is a linear expression in n i.e. its nth term is given by An + B, where A and S are constant and A is common difference.

nth term of an AP : If a is the first term, d is common difference and l is the last term of an AP then

- nth term is given by a
_{n}= a + (n – 1)d. - nth term of an AP from the last term is a’
_{n}=a_{n}– (n – 1)d. - a
_{n}+ a’_{n}= constant - Common difference of an AP i.e. d = a
_{n}– a_{n-1},∀ n > 1

**Note: ** If a constant is added or subtracted from each term of an AR then the resulting sequence is an AP with same common difference.

**Sum of n Terms of an AP**

Sn = n/2 [2a + (n – 1)d]

**Arithmetic Mean: ** if a, and b are in A.P then A = (a+b) /2 is called the arithmetic mean of a and b

**Geometric Progression (GP)**

A sequence in which the ratio of two consecutive terms is constant is called geometric progression. The constant ratio is called common ratio(r).

If a is the first term and r is the common ratio, then the general term or nth term of GP is a_{n} =ar^{n-}

nth term of a GP from the end is a’_{n} = 1/ r (n−1), l = last term

If all the terms of GP be multiplied or divided by same non-zero constant, then the resulting sequence is a GP with the same common ratio.

The reciprocal terms of a given GP form a GP.

If each term of a GP be raised to some power, the resulting sequence also forms a GP

If a, b and c are three consecutive terms of a GP then b^{2} = ac

**Exe-10.1**

Sequences and Series ISC Class-11 Maths Chapter-10

**Exe-10.2**

Sequences and Series ISC Class-11 Maths ML Aggarwal Chapter-10

**Exe-10.3**

Sequences and Series ISC Class-11 Maths Solutions Chapter-10

**Exe-10.4**

Sequences and Series ISC Class-11 Maths Solutions Chapter-10

**Exe-10.5**

Solutions of Sequences and Series ISC Class-11 Maths Chapter-10

**Exe-10.6**

Solutions of Sequences and Series for ISC Class-11 Maths Ch-10

**Exe-10.7**

ML Aggarwal Solutions for Class 11

**Exe-10.8**

Sequences and Series ISC Class-11 Maths ML Aggarwal Ch-10

**Exe-10.9**

Sequences and Series ISC Class-11 Maths Ch-10

**Exe-10.10**

Sequences and Series ISC Class-11 Maths Ch-10

**Chapter Test**

Sequences and Series ISC Class-11 Maths Ch-10

-: End of Sequences and Series ISC Class-11 Maths ML Aggarwal Solution :-

Return to :- ML Aggrawal ISC Class-11 Maths Vol-1 Solutions

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