Solution: Given sequence is, 1, 3, 5, 7, 9…… The sequence of A.P: The n th term a n of the Arithmetic Progression (A.P) a, a+d, a+2d,…a, a+d, a+2d,… is given byĪrithmetic Mean: The arithmetic mean between a and b is given by A.M=\(\frac \) Solved Examples Question 1: If 1, 3, 5, 7, 9…… is a sequence, Find Common difference, nth term, 21st term Sequence is defined as, F 0 = 0 and F 1 = 1 and F n = F n-1 + F n-2 Sequence and Series Formulas If the reciprocals of all the elements of the sequence form an arithmetic sequence then the series of numbers is said to be in a harmonic sequence.įibonacci numbers form a sequence of numbers in which each element is obtained by adding two preceding elements and the sequence starts with 0 and 1. Some Common SequencesĪ sequence in which every term is obtained by adding or subtraction a definite number to the preceding number is an arithmetic sequence.Ī sequence in which every term is obtained by multiplying or dividing a definite number with the preceding number is known as a geometric sequence. In case of an infinite series, the number of elements are not finite i.e. Series: In a finite series, a finite number of terms are written like a 1 + a 2 + a 3 + a 4 + a 5 + a 6 + ……a n. Sequences: A finite sequence stops at the end of the list of numbers like a 1, a 2, a 3, a 4, a 5, a 6……a n. whereas, an infinite sequence is never-ending i.e. However, there has to be a definite relationship between all the terms of the sequence. So, the second term of a sequence might be named a 2, and a 12 would be the twelfth term.Ī series termed as the sum of all the terms in a sequence. The terms of a sequence usually name as a i or a n, with the subscripted letter i or n being the index. The numbers in the list are the terms of the sequence. 2.1 Question 1: If 1, 3, 5, 7, 9…… is a sequence, Find Common difference, nth term, 21st term Sequence and Series FormulaĪ sequence is an ordered list of numbers.
0 kommentar(er)
