Question

Find the 53rd term of the arithmetic sequence
27,11, -5

Answer 1

Answer:

The 53rd term of this arithmetic sequence is -805.

Step-by-step explanation:

The general rule of an arithmetic sequence is the following:

$a_{n+1} = a_{n} + d$

In which d is the common diference between each term, that is, $d = a_{3} - a_{2} = a_{2} - a_{1}$.

To find the nth term of the sequence, this equation can be written as:

$a_{n} = a_{1} + (n-1)d$

27,11, -5

So $a_{1} = 27, a_{2} - a_{1} = 11 - 27 = -16[/tex

[tex]a_{n} = a_{1} + (n-1)d$

$a_{53} = a_{1} + (52)d = 27 + 52*(-16) = -805$

The 53rd term of this arithmetic sequence is -805.

Answer 2

The  53rd term of the arithmetic sequence is -805.

Given that,

• The series is 27,11,-5.

Based on the above information, the calculation is as follows:

$= a + (n - 1)\times d$

$=27 + 52\times (-16)\\\\=27-832\\\\ =(-805)$

Therefore we can conclude that The  53rd term of the arithmetic sequence is -805.

Learn more: brainly.com/question/17429689