Answer:
7(1/2)
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
To check which of the quotients is correct, multiply 43 times 20 and add the remainder. The result must be equal to 876.
First, notice that 20 times 43 equals 860.
A)
The remainder is 17. 860 + 17 = 877, which is not equal to 876.
B)
The remainder is 16. 860 + 16 = 876, which is equal to 876.
C)
The remander is 7. 860 + 7 = 867, which is not equal to 876.
D)
The remainder is 6. 860 + 6 = 866, which is not equal to 876.
Since 20*43 + 16 = 876, then the correct quotient is shown in option B:
876 ÷ 43 = 20 r 16
The sum of any arithmetic sequence is the average of the first and last terms times the number of terms.
Any term in an arithmetic sequence is:
a(n)=a+d(n-1), where a=initial term, d=common difference, n=term number
So the first term is a, and the last term is a+d(n-1) so the sum can be expressed as:
s(n)(a+a+d(n-1))(n/2)
s(n)=(2a+dn-d)(n/2)
s(n)=(2an+dn^2-dn)/2
However we need to know how many terms are in the sequence.
a(n)=a+d(n-1), and we know a=3 and d=2 and a(n)=21 so
21=3+2(n-1)
18=2(n-1)
9=n-1
10=n so there are 10 terms in the sequence.
s(n)=(2an+dn^2-dn)/2, becomes, a=3, d=2, n=10
s(10)=(2*3*10+2*10^2-2*10)/2
s(10)=(60+200-20)/2
s(10)=240/2
s(10)=120
6,824 rounded to the nearest ten is 6,820.
That is because 6,824 is closer to 6,820 than it is to 6,830.
