Question

1. Which is the 27th term of the sequence 5, 14, 23, ........
?​

Answer 1

Step-by-step explanation:

$frist \: term \: is =5 \\ therefror \\ a + 6 \times d\\ 5 + 26\times9 \\ 5 +234 \\239 \\ 239is27th \: term$

Answer 2

Answer:

Step-by-step explanation:

Concept:

The concept of sequence will be used to solve this question.

Given :

The series is $5, 14, 23, ........$

To Find:

The value of $27^{th}$ term of the above series need to be solved.

Solution:

Given that each term has a common difference, this is an arithmetic sequence. In this instance, the next word in the sequence is obtained by adding $9$ to the previous term.

The formula for arithmetic sequence is $a_{n}=a_{1}+d(n-1)$

Here $a_{n}$ means the value of $n^{th}$ term .

$d$ represents difference of two number.

$n$ means position of the number.

$a_{1}$ is the term of first position.

In the sequence, $a_{1}=5$

The value of $d$ is $9$ and $n=27$

Put the values to get the solution.

Therefore $a_{n} =5+9(27-1)=239$

The $27^{th}$ term of this sequence is $239$ .

#SPJ3