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------------------------------------------------ The sum of the first and last terms of an arithmetic progression (AP) is -106. The sum of all the terms in this AP is -1537. If the 13th term of the AP is -41, then the correct option is:

While the question revolves around an Arithmetic Progression(AP), the lack of crucial information, such as the total number of terms in the sequence, makes it impossible to provide a reliable answer.

Explanation:

The question revolves around an Arithmetic Progression(AP). The first and the last term of the AP are given as -106, the sum of all the terms in this AP is - 1 5 3 7, and the 13th term of the AP is -41.

We know that in an AP, if a is the first term, d is the common difference, then the nth term can be calculated by using the formula a + (n-1)*d. Given the sum of all terms is - 1 5 3 7, we can use the formula for the sum of n terms in an AP S_n = n/2 * (a + l) where n is the number of terms, a is the first term and l is the last term.

In this case, however, we seem to be missing some crucial information that would allow us to proceed with more concrete calculations. For instance, we don't have the total number of terms, or n, to work with. It seems like the question as it stands right now, does not have enough information for a full solution.

Learn more about Arithmetic Progression here:

https://brainly.com/question/30364336

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