Answer:
What is the common difference between successive terms in the sequence?
2 answers:
Answer:
common difference = 6.
Step-by-step explanation:
Given : 2, 8, 14, 20, 26, ......
To find : What is the common difference between successive terms in the sequence.
Solution : We have given that 2, 8, 14, 20, 26, ......
Common difference (d) = .
Where , . = any term other than first term
. = previous term.
Then common difference = 8 - 2 = 6.
14 - 8 = 6.
20 - 14 = 6.
Therefore, common difference = 6.
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Answer: 8 cupcakes per box
Step-by-step explanation: "Per box" means in 1 box, so we can rewrite the given statement using fractions as
<em>48 cupcakes/6 boxes</em> = <em>__ cupcakes/1 box</em>.
To find out what goes in the blank, notice that we
have a 1 in the denominator of our second fraction.
So we want to find a fraction that is equivalent
to 48/6 that has a 1 in the denominator.
If we divide the numerator and denominator of 48/6 by 6,
we get the equivalent fraction 8/1 or <em>8 cupcakes/1 box</em>.
So now we have <em>8 cupcakes/1 box = __cupcakes/1 box</em>.
So an 8 must go in the blank which means that the unit rate
for 48 cupcakes in 6 boxes is <em>8 cupcakes per box</em>.
