Sequences and Series
a2 =5 and a3 = 11. Find the sum of the first 20 terms.
1120
What is row 0 of Pascal's Triangle?
1
Topic 2: Find the axis of symmetry in the following quadratic: f(x)=4x2+3x-2
-3/8
Finish the Insult:
[Places a chefs head between to pieces of bread] "What are you?"
"An idiot Sandwich."
The first two terms of a geometric sequence are a1 = 2.1 and a2 = 2.226. Find the value of a10.
a10 = 3.55
What is the 8th row of Pascals Triangle?
1 8 28 56 70 56 28 8 1
Use Heron's formula to find the area of a scalene triangle with sides, measuring 7, 8, and 9.
12sqrt(5).
Finish the Insult:
"This crab is so under cooked..."
"I can still hear it singing 'under the sea!'"
The first two terms of a geometric sequence are a1 = 2.1 and a2 = 2.226. Find the least value of n such that Sn >5543.
n = 88.
Write down the number of terms in the expansion (x10+5)11.
12 terms.
Show that (2n-1)2+(2n+1)2 = 8n2+2
Mac Shall judge thee
State the Empirical Rule.
68% of Data lies 1 SD +- the mean
95%
99.7%
"You put so much Ginger in this..."
"It's a Weasley!"
The first three terms of a geometric sequences are ln(x)16, ln(x)8, ln(x)4, for x > 0. Find the common ratio.
r = 1/2
Find the constant term in the expansion (x+5)4
625
Explain why any integer can be written in the form 4k or 4k+1, 4k+2, 4k+3.
Because every number is divisible by 4 and will leave a remainder of 1, 2, or 3...or divide cleanly.
The displacement, in centimeters, of a particle, from the origin, O, at a time t seconds is given by s(t) = t2cos(t)+2tsin(t), 0<t<5 (equal to). Find the maximum distance of the particle from O. Hint: Graph this in the calculator.
s = -16.513
"There's enough Garlic in here..."
"To kill every vampire in Europe."
the tenth term of a sequence is 8 and the eleventh term of a sequence is 6.5. Find the sum of the first 50 terms.
S50 = -762.5
Let f(x) = (x2+3)7. Find the term x5 in the expansion of the derivative, f'(x).
17010x5
Prove that the sum of squares of any two consecutive odd integers is even.
Mac shall judge thee!
How many total points in the SL IA worth?
20
"This soufflé has sunk so badly..."
"James Cameron wants to do a movie about it!"