Question

What is the common difference, d, in the arithmetic sequence defined by the formula below? an=2n+1

A. 1
B. 2
C. N
D. 2n

Answer 1

• d = 2

Solution:

We are given that the arithmetic progression is defined by :

➝ 2n + 1

Therefore,

• For first term

➙ n = 1

➝ 2 × 1 + 1

➝ 2 + 1

➝ 3

• For second term

➙ n = 2

➝ 2 × 2 + 1

➝ 4 + 1

➝ 5

• Common difference

➙ 2nd term - 1st term

➝ 5 - 3

➝ 2

More information:

• The difference between the successive term and the preceding term is the difference of an arithmetic progression. It is always same for the same arithmetic progression.