Answer: $2.81
Step-by-step explanation:
Pencils: 5 * 0.69 = 3.45
Notebooks: 3 * 2.75 = 8.25
pocket dictionary: 5.49
3.45 + 8.25 + 5.49 = 17.19
20 - 17.19 = 2.81
Therefore, she will get $2.81 change back.
Option D: A(n) = a + (n – 1) d
Solution:
To identify the formula for finding the nth term of an arithmetic sequence.
Let a be the first term.
d be the common difference of the each term.
n be the term of the number.
A(n) be the nth term of the arithmetic sequence.
Arithmetic formula:
A(n) = a + (n – 1) d
Example: 1, 4, 7, 10, 13, 16, 19, ...
This is a arithmetic sequence.
a = 1, d = 4 – 1 = 3.
To find the 5th term:
Substitute this in the above formula, we get
A(n) = a + (n – 1) d
A(5) = 1 + (5 – 1) 3
= 1 + 4(3)
= 1 + 12
A(5) = 13
In the given sequence 5th term is 13.
Hence Option D is the correct answer.
A(n) = a + (n – 1) d
Angle KJL and Angle IJL are supplementary angles
Supplementary angles are angles that add up to 180 degrees
Answer:
1) First term = -105/2
2) The first option is the correct answer 9/2[ 2 + 26]
Step-by-step explanation:
It is given that,
The first term of the arithmetic sequence in which.... a27=-1/2
and the common difference is 2
<u>To find the First term
</u>
First term of an AP be a and common difference d the nth term can be written as,
an = a + (n-1)d
Here n = 27
d = 2 , a27 = -1/2
a + (26 x 2) = -1/2
a = -105/2
From the figure We get an = 3n - 1
<u>To find first term a1 and ninth term s9</u>
a1 = 3 x 1 - 1 = 2
a9 = 3x 9 - 1 = 26
<u>Sum of nth term of an AP </u>
n/2[first term + Last term]
first term a1 and Last term = 26
<u>Sum of first 9 terms S9
</u>
S9 = 9/2[ 2 + 26]
First option is the correct answer
Answer:
It should be b
Step-by-step explanation:
It cant be c or d since those are greater than or equal to 100 and we have a limit of 100.
Now it's between a and b.
I say its b because we are adding even integers which will make an odd number still odd.
Hope this helped and I hope this is correct!