A
Mental Math The general term of a sequence is given. In each case find
the first four terms, the 10th term, and the 15th term.
w 1. an = 3n +1 2. an = 3n - 1 3. an = 11 . 4. a, = n2 + 1
The general term of a sequence is given. In each case find the first four terms,
the 10th term, and the 15th term.
5. an = n² – 2n 6. an = 1 7. an = n +1 8. an = ( - )"-
Find the first five terms of these recursively defined sequences.
9. a1 = 2, an+1 = 4an - 3 10. a1 = -3, an+1 = 2an - 5
11. a1 = 8, an+1 = žan +2 12. a1 = 3, a2 = 3, an+1 = an - an-1

honesty mood

step-by-step explanation:

starting with:    

5 + x - 12 = 2x - 7   

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)   

5 - 12 = x - 7 (combine and cancel x's from both sides)   

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)   

0 = x (add numbers together on both sides)       

so in order for the equation to be true, x must be 0.   

trying x = -0.5   

5 + x - 12 = 2x - 7 (original equation)   

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)   

5 + -0.5 - 12 = -1 - 7 (did multiplication)   

-7.5 = -8 (did addition on both sides)       

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.   

trying x = 0   

5 + x - 12 = 2x - 7 (original equation)   

5 + 0 - 12 = 2(0) - 7 (plug in value of x)   

5 + 0 - 12 = 0 - 7 (did multiplication)   

-7 = -7 (did addition on both sides)       

since -7 equals -7, that demonstrates that the value of 0 for x is correct.   

trying x = 1   

5 + x - 12 = 2x - 7 (original equation)   

5 + 1 - 12 = 2(1) - 7 (plug in value of x)   

5 + 1 - 12 = 2 - 7 (did multiplication)   

-6 = -5 (did addition on both sides)       

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

320ft

step-by-step explanation:

120 divided by 3 equals 40

40 times 4=160

160 times 2=320