Question

The Second Term From The End Of The Ap 5 8 11 47 Is

Answer 1

Correct question:

The second term from the end of the AP 5, 8, 11, __, 47, ... is?

Given: An arithmetic progression.

To find: The second term from the end of it.

Answer:

Since the question asks for us to find it from the end, let's write the AP backwards.

47, __, 11, 8, 5

Let's first obtain the common difference (d).

5 - 8 =  -3

-3 is the common difference.

Here, a (the first term) is 47.

Since we have to find the second term, n = 2.

$\tt a_n\ =\ a\ +\ (n\ -\ 1)d$

Using the values we have,

$\tt a_2\ =\ 47\ +\ (2\ -\ 1)(-3)\\\\\\a_2\ =\ 47\ +\ 1\ \times\ -3\\\\\\a_2\ =\ 47\ -\ 3\\\\\\a_2\ =\ 44$

Therefore, the second term from the end of the AP 5, 8, 11, __, 47 is 44.