What is the common difference between 1/2, 3/4, 1,

June 8, 2026Mathematics

ScanSolve AI Answer

Answer

\frac{1}{4}

2 steps

Here's how to find the common difference:

Identify the first two terms of the sequence.
The first term is $a_1 = \frac{1}{2}$ .
The second term is $a_2 = \frac{3}{4}$ .
Calculate the common difference $d$ by subtracting the first term from the second term.
$d = a_2 - a_1$ $d = \frac{3}{4} - \frac{1}{2}$
To subtract these fractions, find a common denominator, which is 4.
$\frac{1}{2} = \frac{1 \times 2}{2 \times 2} = \frac{2}{4}$
Now substitute this back into the equation for $d$ :
$d = \frac{3}{4} - \frac{2}{4}$ $d = \frac{3-2}{4}$ $d = \frac{1}{4}$
The common difference is $\frac{1}{4}$ .

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