Answer:
80
Step-by-step explanation:
0, 3, 8, 15, 24, <u>35,</u> <u>48,</u> <u>63,</u> <u>80</u> which is the nth term
first step you have to find how many steps the sequence was going with.
examples= from 0 to 3 the steps were 3
=from 3 to 8 the steps were 5
= from 8 to 15 the steps were 7
you will recognize that the steps the sequence is going with is odd numbers.
so you will use the odd numbers until you find what you need. which leads you to 80 which is the nth number in the sequence.
Rachel says that when she ran 115 yards she went farther than Beth who only ran 227 ft. Rachel is correct
<u>Solution:</u>
Given that , Rachel says that when she ran 115 yards she went farther than Beth who only ran 227 ft.
We have to remember that when 1 yard equals 3 ft.
Yes, what Rachel said is correct, let us see how it became correct
In normal view, 115 < 227 but here units are different.
Remember that, for any comparison between two things, we have to take the things in same units.
<em><u>Let us convert 115 yards to feet:</u></em>
Now, 345 feet > 227 feet
Which means, Distance covered by Rachel > Distance covered by Beth
Thus Rachel ran more than Beth. Hence, Rachel is correct.
The value of p and q is 2 , -8 , The nth term of the series is given by 3 * n² + n-2 , the 40th term is 4838 .
<h3>What is a quadratic Sequence ?</h3>
A sequence which has n term in its sequence , The difference of the consecutive number is not same , its second difference is same.
The sequence is given as 7; p; -3;q;...
for a linear pattern
7-p = p- (-3) = -3-q
2p = 4
p = 2
and
2+3 = -3 -q
5 +3 = -q
q = -8
The value of p and q is 2 , -8
A quadratic sequence is defined as 2; 12; 28; 50
The next two terms are 77 and 112.
3. The T40 of the sequence is
The nth term of the series is given by
3 * n² + n-2
therefore 40th term is
3 *40² + 40-2
3 *1600 +38
4838
Therefore the 40th term is 4838 .
To know more about Quadratic Sequence
brainly.com/question/22412845
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0
-5
-10
-15
Multiply each number by -5