Answer:
Step-by-step explanation:
f(x) = 8x + 8
f(x+1) = 8(x+1) + 8
= 8x + 8 + 8
= 8x + 16
<span> To get an explicit formula, we need to find an expression which gives the n-th term without having to compute earlier terms in the sequence. Looking at the numbers, and from the recursive formula, we see that the sequence is built by subtracting n from the previous term. This is similar to the triangular number sequence 1,3,6,10,15,... which has the explicit formula a_n = n(n+1)/2. In our case we are subtracting n from the previous term, so we multiply by -1/2 instead of 1/2. However, we also need to add a constant term to reproduce the numbers of the sequence. We can write a_1 = -1(2)/2 + c = 8. Therefore, c = 9.
So the explict formula is:
a_n = -n(n+1)/2 + 9</span>
Answer:
3√2
Step-by-step explanation:
In this question, we are asked to get the value of √ ( x²-y² ), while the value of x² and y² are given to be 33 and 15 respectively.
Hence, x² =33 and y² = 15.
Putting the values of x² and y² in the above expression we get,
√ ( x²-y² ) = √ ( 33-15) = √18 =3√2. (Answer)
Answer:
-9.83333
Step-by-step explanation:
Answer:
Integers: 32,33,34,35
Step-by-step explanation:
Consecutive means back-to-back, with a difference of 1
Therefore this can be represented with the following equation (where x is the first number), and we can set this equal to the sum
Therefore since x = 32, all four integers are:
If we check this, we can see that their sum equals to 134
Hope this helps!
