High School

In an arithmetic progression (AP) with 100 terms, the first term is 3, and the last term is 7. What is the 34th term from the end of this AP?

Answer :

The 34th term from the end of the arithmetic progression is -92. In this case, the common difference is the same as the first term since it is an arithmetic progression.

To find the 34th term from the end of the arithmetic progression, we can use the formula:

nth term from the end = Last term - (n - 1) * Common difference

Where n is the position of the term from the end. In this case, the common difference is the same as the first term since it is an arithmetic progression.

Plugging in the values into the formula:

34th term from the end = 7 - (34 - 1) * 3 = 7 - 33 * 3 = -92

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