What value of k causes the terms 5, 2k, 13 to form an arithmetic sequence?

2
4
9/2
13/4

Step-by-step explanation:

The  given sequence is

For the sequence to be arithmetic, then

We group similar terms to get;

Divide both sides by 4;

Simplify;

The correct answer is 3rd option 9/2

Step-by-step explanation:

From the given sequence, 5, 2k, 13

Which are in AP.

We can consider a₁ = 5 , a₂ = 2k and a₃ = 13

To find the value of k

We have,

a₂ = (a₁ + a₃)/2

Here,

2k = (5 + 13)/2 = 18/2 = 9/2

Therefore the correct answer is option 3

9/2

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step-by-step explanation: