11/3....this is rational because it is a fraction
sqrt 48.....irrrational because it cant be made into a fraction
6.25....rational
0.01045....if this terminates(ends), it is rational
sqrt 16/81....rational because it equals 4/9
sqrt 3/16....irrational
0.42...rational
16pi....irrational
2x + y = x/2 + 1 multiply this by -4:-
-8x - 4y = -2x - 4
4y = 2x Adding:-
-8x = -4
x = 1/2
Substitute in 4y = 2x:-
4y = 2*1/2
y = 1/4
Answer ( 1/2, 1/4)
1) This is not an arithmetic sequence because it has n².
2) To find 5 first terms of this sequence, you can simply substitute n with 1,2,3,4, and 5, and calculate values of a(1),a(2), a(3), a(4) and a(5).
a(n) = 3n²- 1
n=1 a=3*1² - 1 = 3-1=2
n=2 a=3*2² - 1 = 11
n=3 a=3*3² - 1 =26
n=4 a=3*4² - 1 = 47
n=5 a=3*5² -1 = 74
2,11,26,47,74
Answer C. 2,11,26,47,74.