Question

Problem 1

State whether each sequence is arithmetic and justify your
answer.
1.1, 1.5, 1.9, 2.3, 2.7, ...
Yes
No

Answer 1

`\boxed{\boxed{\pink{\bf \leadsto Yes \ the \ gi en \ sequence \ is \ Arithmetic \ Sequence. }}}`

Explanation:

Given sequence to us is , 1.1, 1.5, 1.9, 2.3, 2.7, . And we need to find whether they are in arithmetic sequence or not .

Arthemetic Sequence :-

A sequence is said to be in Arithmetic sequence if the difference of two consecutive terms is same. That is constant .

Here if we look at the sequence , 1.1, 1.5, 1.9, 2.3, 2.7, . The diffrence of consecutive terms is same.

That is ,

• 1.5 - 1.1 = 0.4

• 1.9 - 1.5 = 0.4

• 2.3 - 1.9 = 0.4

• 2.7 - 2.3 = 0.4

Hence here the difference of two consecutive terms is same . That is 0.4 .

Hence the given sequence is a Arithmetic sequence.