Question

When each corresonding terms of two arithmetic sequence are added, it will result which type of pattern? Solve by taking an example.

• A. A pattern other than an arithmetic sequence.
• B. An arithmetic sequence.
• C. Cannot be determined.

Answer 1

The correct option is B An arithmetic sequence.

Let's take two arithmetic sequences.
$2,4,6,8\to$ The difference between two consecutive terms is $2.$

$5,8,11,14\to$ The difference between two consecutive terms is $3.$

The resulting series is $2+5,4+8,6+11,8+14$

$\Rightarrow 7,12,17,22\to$ The difference between two consecutive terms is $5=2+3.$

This is also an arithmetic sequence.
This fact is true for any arithmetic sequence.