Easy Tips To Solve the Arithmetic Progression

The simplest method for solving A.P. is to examine the difference between the number that came before and the number of each term in the series, which should be constant. Apply the A.P. formula, which satisfies the question's requirement, after that.

1. Common difference of an AP: d = a2 - a1 = a3 - a2 = a4 - a3 = ... = an - an-1 2. nth term of an AP: an = a + (n - 1)d 3. Sum of n terms of an AP: Sn = n/2(2a+(n-1)d) = n/2(a + l), where l is the last term of the arithmetic progression.

Arithmetic Progression Formula

The format of an arithmetic progression is a, (a + d), (a + 2d), (a + 3d),..., where a denotes the initial term and d denotes the common difference. Number of Terms: n Tn = a + (n-1)d is the general form. nth term of an arithmetic progression, where Tn

There are 4 types of questions asked in exams. Type 1: Find nth term of series t_{n} = a+(n-1)d Type 2: Find number of terms in the series n = \frac{l-a}{d} +1 Type 3: Find sum of first ā€˜nā€™ terms of the series  S_{n} =\frac{n}{2}[2a+(n-1) Type 4: Find the arithmetic mean of the series.  b = \frac{a+c}{2}

Books

Options:                                             

Type 1:  Find the 10th term in the series 1, 3, 5, 7, ā€¦

A. 20                      B.  19                      C.  15                      D.  21

Options:                                             

Type 2:  Find the number of terms in the series 7, 11, 15, . . .71

A. 12                      B.  25                      C.  22                      D.  17

Options:                                             

Type 3:  Find the sum of the series 1, 3, 5, 7ā€¦. 201

A. 12101                      B.  25201                      C.  22101                      D.  10201

Options:                                             

Type 4:  Find the arithmetic mean of the first five prime numbers.

A. 6.6                      B.  3.6                      C.  5.6                      D.  7.6

Explore More Web Stories

Learn more