Is 292 a term of the A.P. series 1,4,7,10,…..? Explain.

Explanation

To determine whether 292 is a term of the arithmetic progression (A.P.) series 1, 4, 7, 10, ..., we will follow these steps:

### Step 1: Identify the first term (a) and the common difference (d)
The first term (a) of the A.P. is 1 (the first number in the series). The common difference (d) can be calculated by subtracting the first term from the second term:

\[ d = 4 - 1 = 3 \]
...