Arithmetic Progression

What is the common difference of the Arithmetic Progression:  -1, -1, -1, -1, ..........

• 0
• 1
• 2
• -1

Tags

CCSS.HSF.BF.A.2

A list of numbers -10, -6, -2, 2 is _________

• an A.P with d = -16
• an A.P with d = 4
• an A.P with d = -4
• Not an A.P

Tags

CCSS.HSF.BF.A.2

The first four terms of an Arithmetic Progression whose first term is -2 and the common difference is -2 is _____

• -2, 0, 2, 4
• -2, 4, -8, 16
• -2, -4, -6, -8
• -2, -4, -9, -16

Which of the following is not an Arithmetic Progression?

• 1, 4, 7, 10, .....
• -5, -2, 1, 4, .....
• 3, 7, 12, 16, ......
• 11, 14, 17, 20, .....

Tags

CCSS.HSF.BF.A.2

S_n = a +......+ T_n
S_n = T_n + ....+ a
how do you calculate S_n

• n(a + T_n)
• n/2(a + T_n)

S_n = a +......+ T_n
when you substitute T_n with its formula,  S_n will be...

• n[(a + (n-1)d]
• n/2[2a + (n-1)d ]

How many terms of the arithmetic series 18 + 15 + 12 +...have to be taken so that it sum is zero.
Which formula can be used

• Tn 
• Sn = n/2 [a + Tn]
• Sn = n/2 [2a + (n-1)d]

Find the first term of the given sequence:
a₁₄=68
d=3

• 14
• 20
• 26
• 29

Tags

CCSS.HSF.BF.A.2

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.

• a_n = 4n + 29
• a_n = -4n + 25
• a_n = -4n + 29
• a_n = 4n + 25

Tags

CCSS.HSF.BF.A.2

Create the explicit formula for the sequence:
2, 8, 14, ...

• a_n=2+6n
• a_n=-6+6n
• a_n=6n-4
• a_n=4-6n

Tags

CCSS.HSF.BF.A.2