The 28th term of an ap is -5,find the common difference if the first term is 31​

The common difference is -4/3.

Step-by-step explanation:

Recall that the direct formula for an arithmetic sequence is given by:

Where n is the nth term, a is the initial term, and d is the common difference.

We are given that the first term a is 31.

We also know that the 28th term is -5. Hence, x₂₈ = -5. Substitute:

Solve for d. Simplify:

Thus:

Divide both sides by 27. Hence, the common difference is:

step-by-step explanation:

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