Arithmetic

Front

What is an Arithmetic Progression (AP)?

Back

An Arithmetic Progression (AP) is a sequence of numbers in which the difference between consecutive terms is constant.

Front

What is the common difference in an AP?

Back

The common difference is the constant amount that each term in the sequence increases or decreases by. It can be positive, negative, or zero.

Front

Can the common difference of an Arithmetic Progression be negative?

Back

Yes, the common difference can be negative.

Front

What is the formula for the nth term of an AP?

Back

The nth term (Tn) of an AP can be calculated using the formula: Tn = a + (n-1)d, where 'a' is the first term and 'd' is the common difference.

Front

What is the first positive term of the sequence: -9, -5, -1, ....?

Back

The first positive term is 3.

Front

Is the sequence 1, 2, 3, ... an Arithmetic Progression?

Back

Yes, it is an Arithmetic Progression with a common difference of 1.

Front

Say 'TRUE' or 'FALSE': The sequence 1^3, 2^3, 3^3, ... is an Arithmetic Progression.

Back

FALSE.

Front

What is the common difference of the Arithmetic Progression 0.2, -0.3, -0.8, ...?

Back

The common difference is -0.5.

Front

Is the sequence 1, ½, ⅓, ¼, ... an Arithmetic Progression?

Back

No, it is not an Arithmetic Progression.

Front

What is the sum of the first n terms of an AP?

Back

The sum (S_n) of the first n terms of an AP can be calculated using the formula: S_n = n/2 * (2a + (n-1)d).