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Find the first term of an AP whose 8th is 39 and the common difference is 5.

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Final answer:

The first term of the Arithmetic Progression (AP) with a given 8th term and common difference can be found using the formula a = 8th term - (n - 1) x d. In this case, the first term is 4.

Step-by-step explanation:

The first term of an Arithmetic Progression (AP) can be found using the formula:

a = 8th term - (n - 1) x d

Where a is the first term, n is the position of the term, and d is the common difference.

Given that the 8th term is 39 and the common difference is 5, we can substitute these values into the formula:

a = 39 - (8 - 1) x 5

Simplifying the expression:

a = 39 - 7 x 5

a = 39 - 35

a = 4

Therefore, the first term of the AP is 4.

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