3 years ago

F(1)=2f(n+1) = f(n)+4What is f(10)?

Mathematics

1 answer:

diamong [38]3 years ago

8 0

9514 1404 393

Answer:

Step-by-step explanation:

The recursion relation describes an arithmetic sequence with a first term of 2 and a common difference of 4. The explicit formula for the n-th term of the sequence is ...

f(n) = f(1) +d(n -1) . . . . . for first term f(1) and difference d

f(n) = 2 +4(n -1) = 4n -2

Then the 10th term is ...

f(10) = 4(10) -2

f(10) = 38

You might be interested in

Select the ordered pairs that satisfy the equation y=1/5x.Check all that apply.

vovikov84 [41]

Answer: C, E, F

Step-by-step explanation:

Plug in the "x" and "y" values from the ordered pairs into the equation.
For A: 3 = $\frac{1(5)}{5}$ → 3 ≠ 1 → A is eliminated.
For B: 5 = $\frac{1(1)}{5}$ → 5 ≠ $\frac{1}{5}$ → B is eliminated.
For C: 2 = $\frac{1(10)}{5}$ → 2 = 2 → C satisfies the equation.
For D: 10 = $\frac{1(4)}{5}$ → 10 ≠ $\frac{4}{5}$ → D is eliminated.
For E: -1 = $\frac{1(-5)}{5}$ → -1 = -1 → E satisfies the equation.
For F: 3 = $\frac{1(15)}{5}$ → 3 = 3 → F satisfies the equation.
Therefore, C, E, and F are the answers.

4 0

3 years ago

Read 2 more answers

the radius of the base of a right cylinder is 12 cm and the height and the height of the cylinder is 18 cm. in terms of pi what

sladkih [1.3K]

Answer:

Step-by-step explanation:r=12cm,h=18cm,v=?

Vol. Of a cylinder=Πr²h

V= Π×12²×18

V= Π×144×18

V=2592Πcm³

7 0

3 years ago

Please help me. There are 25 students in Mrs. Benatar‘s class at the beginning of the school year, and the average number of sib

adelina 88 [10]

Answer: 3.19

Step-by-step explanation:

So to find the average I used a simple but pretty effective method

3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+3+8/26=3.1923

So the new average is 3.19

8 0

3 years ago

Help please really need it fast :)

Serga [27]

Answer:

.4 x .9

Step-by-step explanation:

5 0

3 years ago

What is the slope-intercept equation of the line below ?

Jobisdone [24]

Answer:

B. Y= -3x + 4

Step-by-step explanation:

Apex

Hope this helps Have a nice day

6 0

3 years ago