the first 3 terms of the arithmetic sequence are given. find an expression t_ n in the terms of n and write the tenth term of each sequence

We get tₙ:

10th term is

Step-by-step explanation:

The given arithmetic sequence is: a,2a,3a

We need to find tₙ and tenth term

Finding tₙ

The formula used is:

We need to find d, the common difference

a₁ = a

a₂ = 2a

We can find common difference using the formula:

So, we get common difference d = a

Now, finding tₙ

So, we get tₙ:

Now, finding 10th term

By putting n=10 in the equation

So, 10th term is 10a

it's

step-by-step explanation: