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Write an explict formula for the following sequence.find the twentieth term. 8.9.10.11,12

what is an explicit formulate for the given space a n =?
find the twentieth term
a 20 =?
simplify both answers

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Answer:

The given sequence has a common difference of 1. So, we can write the explicit formula as:a_n = a_1 + (n-1)dwhere a_1 is the first term, d is the common difference, and n is the term number.Here, a_1 = 8 and d = 1. Substituting these values, we get:a_n = 8 + (n-1)1

a_n = n + 7To find the twentieth term, we substitute n = 20 in the formula:a_20 = 20 + 7

a_20 = 27So, the twentieth term is 27.Simplifying both answers, we get:a_n = n + 7a_20 = 27

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