If the first term of an arithmetic progression is 4 and the common difference is

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Question: If the first term of an arithmetic progression is 4 and the common difference is 5, what is the 10th term?

Options:

Correct Answer: 54

Solution:

The nth term of an AP is given by a_n = a + (n-1)d. Here, a = 4, d = 5, and n = 10. So, a_10 = 4 + (10-1)5 = 4 + 45 = 49.

If the first term of an arithmetic progression is 4 and the common difference is 5, what is the 10th term?

If the first term of an arithmetic progression is 4 and the common difference is 5, what is the 10th term?

Step 1: Identify the first term (a) of the arithmetic progression. Here, a = 4.
Step 2: Identify the common difference (d) of the arithmetic progression. Here, d = 5.
Step 3: Identify the term number (n) you want to find. Here, n = 10.
Step 4: Use the formula for the nth term of an arithmetic progression: a_n = a + (n-1)d.
Step 5: Substitute the values into the formula: a_10 = 4 + (10-1) * 5.
Step 6: Calculate (10-1) which equals 9.
Step 7: Multiply 9 by the common difference (5): 9 * 5 = 45.
Step 8: Add this result to the first term: 4 + 45 = 49.
Step 9: The 10th term of the arithmetic progression is 49.

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