If the first term of an arithmetic progression is 7 and the common difference is

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Question: If the first term of an arithmetic progression is 7 and the common difference is 2, what is the 15th term?

Options:

Correct Answer: 37

Solution:

Using the formula for the nth term, a + (n-1)d = 7 + 14*2 = 7 + 28 = 35.

If the first term of an arithmetic progression is 7 and the common difference is 2, what is the 15th term?

If the first term of an arithmetic progression is 7 and the common difference is 2, what is the 15th term?

Step 1: Identify the first term of the arithmetic progression, which is given as 7.
Step 2: Identify the common difference, which is given as 2.
Step 3: Identify the term number we want to find, which is the 15th term.
Step 4: Use the formula for the nth term of an arithmetic progression: nth term = first term + (n - 1) * common difference.
Step 5: Substitute the values into the formula: 15th term = 7 + (15 - 1) * 2.
Step 6: Calculate (15 - 1) which equals 14.
Step 7: Multiply 14 by the common difference (2): 14 * 2 = 28.
Step 8: Add this result to the first term: 7 + 28 = 35.
Step 9: The 15th term of the arithmetic progression is 35.

Arithmetic Progression – An arithmetic progression (AP) is a sequence of numbers in which the difference between consecutive terms is constant, known as the common difference.
Nth Term Formula – The nth term of an arithmetic progression can be calculated using the formula: a + (n-1)d, where 'a' is the first term, 'd' is the common difference, and 'n' is the term number.