5 - 7 = - 2 ;
- 2 - 7 = - 9 ;
-9 - 7 = -16 ;
"common difference" d is - 7 ;
The n-th term of an arithmetic sequence is of the form <span>an = a1 + (n – 1)d ;
</span>a50 = 5 + 49 × ( - 7 ) = 5 - 343 = - 338;
It’s the last one (10,800)
Hello from MrBillDoesMath!
Answer:
n = 5
Discussion:
Let the original number be "n" Translating the problem statement to mathematical symbolism:
n + 4 = 19 - 2n => add 2n to both sides
n + 2n + 4 = 19 - 2n + 2n => combine like terms
3n + 4 = 19 => subtract 4 from both sides
3n = 19 -4 = 15 => divide both sides by 3
n = 15/3 =5
Check: Does 5 +4 = 19 - 2(5)? Does 9 = 9? Yes. so the value for n is confirmed correct.
Thank you,
MrB
The hypotenuse would be 9 inches as 6 is equal to 2/3 of 9 :)
