4. What is the 5th term of the arithmetic sequence 10, 14, 18, ...? A. 20 C. 26 B. 24 D. 28. Created by amyduhaylungsod26. Math

4. What is the 5th term of the arithmetic sequence 10, 14, 18, ...? A. 20 C. 26 ...

Questions

amyduhaylungsod26 @amyduhaylungsod26

October 2022 1 2 Report

4. What is the 5th term of the arithmetic sequence 10, 14, 18, ...? A. 20 C. 26 B. 24 D. 28

Answers & Comments

Hanimeya

Verified answer

SEQUENCE

==================================

Problem

What is the 5th term of the arithmetic sequence 10, 14, 18, ...?

Solution

Firstly determine the common difference between the sequences using the given formula

$\bold{Formula\:||\: Difference = a_n - a_{n - 1}}$

$\tt{D = a_2 - a_1 = 14 - 10 = \red{4}}$
$\tt{D = a_3 - a_2 = 18 - 14 = \red{4}}$

Therefore, the common difference is 4.now determine the 5th term of the sequence using the arithmetic sequence formula of the given sequences.

$\bold{Formula\:||\: A_n = a_1 + (n-1)d }$

$\large\tt{A_5 = 10 + (5 - 1)4}$
$\large\tt{A_5 = 10 + (4)4}$
$\large\tt{A_5 = 10 + 16}$
$\underline{\large\tt\red{26 = A_5}}$

$\therefore$ The value of the missing term is 26.

The third option is the correct answer.

==================================

#CarryOnLearning

Add an Answer

from a group of five student in how many ways can a committee of three members a...

Answer

amyduhaylungsod26 September 2022 | 0 Replies

the firebird is the music of the 20th century created by an expressionist a new ...