If the first term of a series is 10 and the last term is 50 with a common differ

₹0.0

Question: If the first term of a series is 10 and the last term is 50 with a common difference of 5, how many terms are in the series? (2023)

Options:

Correct Answer: 9

Exam Year: 2023

Solution:

The number of terms n can be calculated using the formula: n = (last - first) / difference + 1. Here, n = (50 - 10) / 5 + 1 = 9.

If the first term of a series is 10 and the last term is 50 with a common difference of 5, how many terms are in the series? (2023)

If the first term of a series is 10 and the last term is 50 with a common difference of 5, how many terms are in the series? (2023)

Step 1: Identify the first term of the series, which is 10.
Step 2: Identify the last term of the series, which is 50.
Step 3: Identify the common difference between the terms, which is 5.
Step 4: Use the formula to find the number of terms: n = (last - first) / difference + 1.
Step 5: Substitute the values into the formula: n = (50 - 10) / 5 + 1.
Step 6: Calculate the difference: 50 - 10 = 40.
Step 7: Divide the difference by the common difference: 40 / 5 = 8.
Step 8: Add 1 to the result: 8 + 1 = 9.
Step 9: Conclude that there are 9 terms in the series.

Arithmetic Series – Understanding the properties of an arithmetic series, including the first term, last term, common difference, and how to calculate the number of terms.
Formula Application – Applying the formula for the number of terms in an arithmetic series correctly.