Question

when 60 is added to the first term of ap . we get its 11 term , which number should be added to its first term to get 19th term . can 75 be the difference between any of the 2 terms of sequence

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Answer 1

Step-by-step explanation:

when 60 is added to the first term of ap . we get its 11 term , which number should be added to its first term to get 19th term . can 75 be the difference between any of the 2 terms of sequence

Answer 2

Step-by-step explanation:

Arithmetic Progression Formulas: An arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is a constant. For example: 3, 6, 9, 12, 15, … , 30. Here, each successive number differs from the previous one by 3. So, it is an arithmetic progression with common difference 3.

In this article, we have provided arithmetic progression definition along with all the AP formula and solved examples.

Practice Important Questions On Arithmetic Progression

Arithmetic Progression Formulas: What Is An Arithmetic Progression?

What is AP? An arithmetic sequence or progression is defined as a sequence of numbers in which for every pair of consecutive terms, we get the second number by adding a fixed number to the first one. The fixed number that must be added to any term of an AP to get the next term is known as the common difference of the arithmetic progression.

AP full form is Arithmetic Progression. In an AP, there are 3 main terms which are used to solve mathematical problems:

(i) Common difference (d)

(ii) nth Term (an)

(iii) Sum of the first n terms (Sn)

These three terms define the property of Arithmetic Progression. We can understand the arithmetic progression concept with an example.

2, 6, 10, 14, 18, 22, … , 50

This AP has the first term, a = 2, common difference, d = 4, and last term, l = 50.

5, 10, 15, 20, 25, 30, … , 60

This AP has the first term, a = 5, common difference, d = 5, and last term, l = 60.

Get Algebra formulas below:

Algebra Formulas for Class 8 Algebra Formulas for Class 9

Algebra Formulas for Class 10 Algebra Formulas for Class 11

Arithmetic Progression Formulas

These are the main arithmetic progression formula Class 10:

(i) Sequence

(ii) Common Difference

(iii) The nth term of AP

(iv) nth term from the last term

(v) Sum of the first n terms

Let’s see all the formulas in detail.

AP Series Formula

An infinite arithmetic sequence is denoted by the following formula:

The behavior of the sequence depends on the value of the common difference, d.

(i) If the value of “d” is positive, then the member terms will grow towards positive infinity.

If the value of “d” is negative, then the member terms grow towards negative infinity.

Common Difference Formula

The common difference is the fixed constant whose value remains the same throughout the sequence. It is the difference between any two

(￣3￣)