Given:
The sequence is 5, 15, 25, ... .
To find:
The explicit formula for the nth term of the given sequence.
Solution:
We have,
5, 15, 25, ...
It is an AP because the difference between two consecutive terms are same.
Here,
First term : a = 5
Common difference : d = 15 - 5 = 10
Now, the explicit formula for the nth term of an AP is
Where, a is the first term and d is the common difference.
Therefore, the required explicit formula for the given sequence is .
First represent your 3 consecutive integers as follows.
X ⇒ <em>first integer</em>
X + 1 ⇒ <em>second integer</em>
X + 2 ⇒ <em>third integer</em>
<em />
Since their sum is 84, our equation reads x + (x + 1) + (x + 2) = 84.
Simplifying on the left side we get 3x + 3 = 84.
Now subtract 3 from both sides to get 3x = 81.
Dividing both sides by 3, we find that <em>x = 27</em>.
Finally, make sure you list all your answers.
If <em>x </em>is 27 then <em>x </em>+ 1 is 28 and <em>x </em>+ 2 is 29.
Answer:
D is the correct representation.
=
Step-by-step explanation:
Here, the given equation is:
here, numerator =
and denominator =
Solving numerator and denominator separately, we get
NUMERATOR:
Denominator:
Hence, the transformed fraction is:
or, implied fraction is
Hence, D is the correct representation.
he ended up multiplying the 7 by the 2 for some reason.
and an explanation could be he used the reciprocal of both numbers mistakenly.
Replace “a number” with x then add five to that so it would look like this x + 5
You also don’t have to replace “a number” with x it can be any letter but x is the most common letter used in these scenarios