Question

Which of the term AP 27,23,19...-1.​

Answer 1

Given:

• AP:27,23,19

To Find:

• Which term is (-1)

Solution:

Let (-1) be the nth term therefore,

$a = 27 \: \: \: \: \: a_{2} = 23 \\ d =a_{2} - a \\ = 23 - 27 \\ \boxed{d= ( - 4) }$

$a_{n} = ( - 1) \\ a_{n} = a + (n - 1)d \\ - 1 = 27 + (n - 1) - 4 \\ n - 1 = \frac{( - 28)}{ (- 4)} = 7 \\ \boxed{ \boxed{n = 8}}$

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