Find the common difference of the arithmetic sequence shown 1/4 3/8 1/2

Question

asked Feb 20, 2019 3.2k views

2 Answers

Henry Rodriguez · Answer 1 · 2019-02-20T15:55:21+0000

Each fraction can be rewritten with an 8 in the denominator //

1/4 -> 2/8

3/8 = 3/8

1/2 -> 4/8

From left to right, each fraction is increasing by 1/8.

Ocha · Answer 2 · 2019-02-26T02:45:33+0000

Answer:

Common difference, d
=(1)/(8)

Explanation:

Given: The sequence is arithmetic
(1)/(4),(3)/(8),(1)/(2)

$\text{First term, }a_1=(1)/(4)$

$\text{Second term, }a_2=(3)/(8)$

$\text{Third term, }a_3=(1)/(2)$

To find: Common difference, f

Common difference is equal to difference of second term minus first term.( Difference of any two consecutive term)

$\text{Common difference, }d=a_2-a_1=a_3-a_2$

d=(3)/(8)-(1)/(4)

d=(3-2)/(8)

d=(1)/(8)

Hence, The common difference of the given arithmetic sequence is