Find the 20th term of the AP 7, 11, 15, 19, ...
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Step-by-Step Solution
Step 1: Identify the first term and common difference
In an Arithmetic Progression (AP), the first term is denoted by a, and the common difference is denoted by d. 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 n -th term of an Arithmetic Progression is an=a+(n−1)d, where an is the n -th term, a is the first term, n is the term number, and d is the common difference.
Step 3: Substitute values to find the 20th term
Now, we substitute the values of a=7, d=4, and n=20 into the formula for the n -th term. We then perform the arithmetic operations to find the value of the 20th term.