What is the 4th term of the arithmetic progression where the first term is 10 an

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Question: What is the 4th term of the arithmetic progression where the first term is 10 and the common difference is 5?

Options:

Correct Answer: 25

Solution:

The nth term is given by a + (n-1)d. Here, a = 10, d = 5, and n = 4. So, the 4th term = 10 + (4-1) * 5 = 10 + 15 = 25.

What is the 4th term of the arithmetic progression where the first term is 10 and the common difference is 5?

What is the 4th term of the arithmetic progression where the first term is 10 and the common difference is 5?

Step 1: Identify the first term of the arithmetic progression, which is given as 10.
Step 2: Identify the common difference, which is given as 5.
Step 3: Identify the term number we want to find, which is the 4th term (n = 4).
Step 4: Use the formula for the nth term of an arithmetic progression: nth term = a + (n-1)d.
Step 5: Substitute the values into the formula: 4th term = 10 + (4-1) * 5.
Step 6: Calculate (4-1) which equals 3.
Step 7: Multiply 3 by the common difference (5): 3 * 5 = 15.
Step 8: Add this result to the first term: 10 + 15 = 25.
Step 9: Conclude that the 4th term of the arithmetic progression is 25.

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.