Question

Hi I need someone to check my answers I'll show whatever work I have but for time purposes I'll just post my answers because I think I have most of them correct. Thanks!

1)Find the 20th term of the arithmetic sequence in which a1=3 and d=7.
A)143
B)136
C)140
D)133
I chose B

2)Write an equation for the nth term of the arithmetic sequence -3,3,9,15...
A)aN=n+6
B)aN=6n+9
C)aN=6n-9
D)aN=n-3
I chose B

3)Find the two arithmetic means between 4 and 22.
A)10,16
B)8,16
C)8,12
D)13,13
I chose A

4)Simplify: Find Sn for the arithmetic series in which a1=3,d=1/2,and aN=15
A)225
B)9
C)45
D)210
I chose B

5)ok this one's tricky to type but its with sigma so here it is.
There is a sigma sign and there is an 8 on the top of it and k=3 below. In parentheses to the right is (40-3k) and the question is Find.
A)45
B)282
C)-90
D)141
I chose D. this question is tricky but if you read it slowly and you know about sigma you'll be able to help. Thanks again.

Answer 1

Your #2 and 4 are not correct

#2:

you picked B which is t_n = 6n+9
if you let n=1 you get 15 as your first term, you should obtain -3
doesn't C give you that result?

#4:

t_n = 15
15 = 3 + (n-1)(1/2)
12 = (n-1)/2
24 = n-1
n=25

So S₂₅ = 25/2[6 + 24(1/2)]
= 25/2[18]
= 225 which is A

Answer 2

ok thanks. Did you check the others?

Answer 3

the others were ok