Find the 20th term of the AP 7, 11, 15, 19, ...

Answer: The 20th term of the AP is 83.

Step-by-step solution

Step 1: Identify the first term and common difference

In an Arithmetic Progression (AP), the first term is denoted by aa, and the common difference is denoted by dd. We can find the common difference by subtracting any term from its succeeding term.

Step 2: Recall the formula for the nth term

The formula for the nn -th term of an Arithmetic Progression is an=a+(n−1)da_n = a + (n-1)d, where ana_n is the nn -th term, aa is the first term, nn is the term number, and dd is the common difference.

Step 3: Substitute values to find the 20th term

Now, we substitute the values of a=7a=7, d=4d=4, and n=20n=20 into the formula for the nn -th term. We then perform the arithmetic operations to find the value of the 20th term.

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