The sum of 18th term if an a.p is 549 given that the common difference is 3 find the 56th term and also the sum of the 32 term

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Did you know that in an arithmetic progression (a.p), the 18th term is the sum of the first 18 terms in the sequence? In this case, the sum of the first 18 terms is 549, and the common difference is 3. Knowing this, we can find the 56th term of the sequence by using the formula for the nth term of an a.p., which is given by: nth term = first term + (n - 1) * common difference. Plugging in the values, we get: 56th term = first term + (56 - 1) * 3. Similarly, to find the sum of the first 32 terms, we can use the formula for the sum of an a.p., which is given by: sum = n/2 * (2 * first term + (n - 1) * common difference). In this case, the sum of the first 32 terms will be: 32/2 * (2 * first term + (32 - 1) * 3). Understanding how to find nth terms and sums in an arithmetic progression can be helpful in various fields, such as finance, statistics, and physics.