-5 - 4 -1 4 11 20 31 subtracting:-
1 3 5 7 9 11 subtractiing:-
2 2 2 2 2
second row is 2 so the rule will contain n^2
so we can write the series as n^2 - 6 , n^2 - 8 , n^2 - 10 etc
the numbers are in arithmetical sequence with a1 = 6 and d = -2
so nth term of our sequence is n^2 - a1 + (n - 1)d = n^2 -2n - 6 + 2
= n^2 - 2n - 4 Answer
We solve the equation, ( a + a + 1 )^2 = 112 + a^2 + ( a + 1 )^2;
Then, ( 2a + 1 )^2 = 112 + a^2 + a^2 + 2a +1;
4a^2 + 4a + 1 = 113 + 2a^2 + 2a;
Finally, 2a^2 + 2a - 112 = 0;
a^2 + a - 56 = 0;
We use <span>Quadratic Formula for this Quadratic Equation;
The solutions are a1 = 7 and a2 = -8;
But a is a natural number; so, a = 7;
The natural consecutive numbers are 7 and 8.</span>
The comment below or above mine is gonna mess your device up, don’t click/look it up
The area is 288 units squared, or D. 72 times 4 equals 288.
Let's say you're renting a boat
Let h = number of hours you rent the boat
if it costs $46 per hour to rent a boat, then it will cost a total of 46*h or 46h dollars
Now let's say that you get a discount if you are a member. The membership fee is $86 leading to the discount hourly cost to be $25 per hour. If you rent for h hours, then you pay a total of 86+25h dollars
Writing 46h > 86+25h will represent cases when the nonmembership option is more expensive (and the membership option more cheaper). Solving for h will help determine when the membership option is cheaper.
