Arithmetic Sequence
What is the formula for Arithmetic Sequence
an=a1+(n-1)d
What is the formula for finding Sum of n terms of an AP?
Sn=n/2(a+an)
You visit the Grand Canyon and drop a penny off the edge of a cliff. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and so on in an arithmetic sequence. What is the total distance the object will fall in 6 seconds?
A6=16+(6-1)32=176 6th term is 176 S6=6/2(16+176) S6=576 feet
Which of these is a quadratic equation having one of its roots as zero?
a) x3+x2=0
b) x2-2x=0
c) x2-9=0
b) x2-2x=0
Where was Abacus invented?
China
What is the common difference in 3, 11, 19, 27, 35,...? What is the 6th term?
8, 43
Determine the number of terms n in each arithmetic series. a1 =19, an =96, Sn =690
12
A theater has 60 seats in the first row, 68 in the second row, 76 in the third row, and so on in the same increasing pattern. If the theatre has 20 rows of seats, how many seats are in the theatre?
n = 20, a1 = 60, d = 8 and we need a20 for the sum. a20=60+(20-1)8=212 S20=20/2(60+212)=2720 There are 2720 seats.
Find the mean of first 10 natural numbers?
5.5
I am an odd number. Take away one letter and I become even. What number am I?
a) 6
b) 7
c) 8
d) 9
b) 7
Find the next term in the sequence 7,15,23,31, ?
39
Determine the sum of terms in the given arithmetic series:
a1 =42, an =146, n=14
a1 =42, an =146, n=20
1316 ... 1880
A brick patio has the approximate shape of a trapezoid. The patio has 18 rows of bricks. The first row has 14 bricks and the 18th row has 31 bricks. How many bricks are on the patio?
A1=14, a18= 31 S18=18/2(14+31)= 405 Bricks doe
If the mean of 4 numbers 2, 6, 7 and a is 15 and also the mean of other 5 numbers 6, 18, 1, a, b is 50. What is the value of b?
a= 45, b= 180
12x12= 9
13x13= 16
23x23= 16
25x25= ?
13
If an=10-2n, find a1-5 & a52.
8, 6, 4, 2, 0 ...-90
Determine the sum of terms in the arithmetic series. 10+12+14+16..., n=27
972
An auditorium has 20 rows of seats. There are 20 seats in the first row, 21 seats in the second row, 22 seats in the third row. How many seats are there in all 20 Rows
A20=20+(19)1 A20=39 S20=20/2(20+39)=590 Seats
The mode and mean is given by 7 and 8, respectively. Then the median is______.
23/3
If 1=3, 2=3, 3= 5, 4=4, and 5=4, then what does 6=?
a) 3
b) 4
c) 5
d)6
a) 3
What is the 150 term & 270 term in the sequence, 88,98,108,...
1578 ... 2778
Find the sum of the sigma on the board...
417240
A hardware store makes a profit of $30,000 during its first year. The store owner sets a goal of increasing profits by $5,000 each year for 4 years. Assuming that this goal is met, find the total profit during the first 5 years of business
A1=30,000 d=5,000 A2=30,000+5,000= 35,000 A5=5/2(30,000+50,000)=$200,000
The class interval of a given observation is 10-15, then find its class mark?
12.5
A circle passing through the vertices of the triangle is called_____________
Circumcircle