Question

The first term in an arithmetic sequence is 1 , and the second term is 2. The difference between each pair of consecutive terms in the sequence is 1 2/5.

A) True
B) False

Answer 1

B) False

Explanation:

We are given the following in the question:

The first term in an arithmetic sequence is 1.

`a_1 = a =1`

The second term in an arithmetic sequence is 2.

`a_2 = 2`

Difference between each pair of consecutive terms in the sequence

`=a_2-a_1\\= 2 - 1\\= 1`

Statement:

The difference between each pair of consecutive terms in the sequence is
`1(2)/(5)`

Thus, the given statement is false since the difference between each pair of consecutive terms in the sequence is equal to difference between first an second term of arithmetic sequence which is 1 not
`1(2)/(5)`